{"id":"https://openalex.org/W2799080672","doi":"https://doi.org/10.4171/jca/53","title":"Stanley\u2013Reisner rings for symmetric simplicial complexes, $G$-semimatroids and Abelian arrangements","display_name":"Stanley\u2013Reisner rings for symmetric simplicial complexes, $G$-semimatroids and Abelian arrangements","publication_year":2021,"publication_date":"2021-10-29","ids":{"openalex":"https://openalex.org/W2799080672","doi":"https://doi.org/10.4171/jca/53","mag":"2799080672"},"language":"en","primary_location":{"id":"doi:10.4171/jca/53","doi":"https://doi.org/10.4171/jca/53","is_oa":true,"landing_page_url":"https://doi.org/10.4171/jca/53","pdf_url":"https://ems.press/content/serial-article-files/14706","source":{"id":"https://openalex.org/S4210183405","display_name":"Journal of Combinatorial Algebra","issn_l":"2415-6302","issn":["2415-6302","2415-6310"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","norway-2","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Algebra","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ems.press/content/serial-article-files/14706","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012338569","display_name":"Alessio D\u2019Al\u00ec","orcid":"https://orcid.org/0000-0002-6370-6583","observed_orcids":["https://orcid.org/0000-0002-6370-6583"]},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Alessio D\u2019Al\u00ec","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Osnabr\u00fcck, Germany","Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Leipzig, Germany","University of Warwick, Coventry, UK","Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Leipzig, Germany; and University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Leipzig, Germany; and University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362","https://openalex.org/I4210091327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011835528","display_name":"Emanuele Delucchi","orcid":"https://orcid.org/0000-0003-3430-1517","observed_orcids":["https://orcid.org/0000-0003-3430-1517"]},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]},{"id":"https://openalex.org/I15196421","display_name":"University of Applied Sciences and Arts of Southern Switzerland","ror":"https://ror.org/05ep8g269","country_code":"CH","type":"education","lineage":["https://openalex.org/I15196421"]}],"countries":["CH","IT"],"is_corresponding":false,"raw_author_name":"Emanuele Delucchi","raw_affiliation_strings":["SUPSI, Lugano-Viganello, Switzerland","University of Pisa, Italy","SUPSI, Lugano-Viganello, Switzerland; and University of Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SUPSI, Lugano-Viganello, Switzerland","institution_ids":["https://openalex.org/I15196421"]},{"raw_affiliation_string":"University of Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"SUPSI, Lugano-Viganello, Switzerland; and University of Pisa, Italy","institution_ids":["https://openalex.org/I108290504","https://openalex.org/I15196421"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9273,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.63218575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"5","issue":"3","first_page":"185","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.014299999922513962,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stanley-reisner-rings","display_name":"Stanley-Reisner rings","score":0.9789999723434448},{"id":"https://openalex.org/keywords/group-actions","display_name":"group actions","score":0.6790000200271606},{"id":"https://openalex.org/keywords/rings-of-invariants","display_name":"invariant rings","score":0.8579999804496765},{"id":"https://openalex.org/keywords/cohen-macaulay-property","display_name":"Cohen-Macaulay property","score":0.8090000152587891},{"id":"https://openalex.org/keywords/independence-complexes","display_name":"independence complexes","score":0.8029999732971191},{"id":"https://openalex.org/keywords/tutte-polynomial","display_name":"Tutte polynomial","score":0.8539999723434448},{"id":"https://openalex.org/keywords/h-polynomials","display_name":"h-polynomials","score":0.8550000190734863},{"id":"https://openalex.org/keywords/toric-arrangements","display_name":"toric arrangements","score":0.8040000200271606}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.826720654964447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7648928165435791},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.7619760036468506},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6445673108100891},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6373605728149414},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.614380419254303},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.5345194935798645},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.490906298160553},{"id":"https://openalex.org/C14447369","wikidata":"https://www.wikidata.org/wiki/Q7857002","display_name":"Tutte polynomial","level":5,"score":0.484350323677063},{"id":"https://openalex.org/C127634017","wikidata":"https://www.wikidata.org/wiki/Q5627866","display_name":"h-vector","level":3,"score":0.4644698202610016},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4619918167591095},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.46089261770248413},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.4530595541000366},{"id":"https://openalex.org/C131715654","wikidata":"https://www.wikidata.org/wiki/Q288465","display_name":"Group action","level":3,"score":0.41195040941238403},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3899409770965576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34573641419410706},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.34188544750213623},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.3374837040901184},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06295576691627502},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061376988887786865},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.4171/jca/53","doi":"https://doi.org/10.4171/jca/53","is_oa":true,"landing_page_url":"https://doi.org/10.4171/jca/53","pdf_url":"https://ems.press/content/serial-article-files/14706","source":{"id":"https://openalex.org/S4210183405","display_name":"Journal of Combinatorial Algebra","issn_l":"2415-6302","issn":["2415-6302","2415-6310"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","norway-2","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Algebra","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1804.07366","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.07366","pdf_url":"https://arxiv.org/pdf/1804.07366","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:re.public.polimi.it:11311/1223267","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1223267","pdf_url":"https://re.public.polimi.it/bitstream/11311/1223267/1/%282021%29%20D%27Ali%cc%80%20Delucchi%20-%20Stanley-Reisner%20rings%20for%20symmetric%20simplicial%20complexes%2c%20G-semimatroids%20and%20Abelian%20arrangements.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:unige.iris.cineca.it:11567/1053672","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11567/1053672","pdf_url":"https://unige.iris.cineca.it/bitstream/11567/1053672/5/10.4171-jca-53%20%281%29.pdf","source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unige.it:11567/1053672","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/1053672","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:wrap.warwick.ac.uk:160013","doi":null,"is_oa":false,"landing_page_url":"https://wrap.warwick.ac.uk/160013/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.1804.07366","doi":"https://doi.org/10.48550/arxiv.1804.07366","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1804.07366","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.71910/supsi.11158","doi":"https://doi.org/10.71910/supsi.11158","is_oa":true,"landing_page_url":"https://doi.org/10.71910/supsi.11158","pdf_url":null,"source":{"id":"https://openalex.org/S7407051718","display_name":"SUPSI ARIS","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"doi:10.4171/jca/53","doi":"https://doi.org/10.4171/jca/53","is_oa":true,"landing_page_url":"https://doi.org/10.4171/jca/53","pdf_url":"https://ems.press/content/serial-article-files/14706","source":{"id":"https://openalex.org/S4210183405","display_name":"Journal of Combinatorial Algebra","issn_l":"2415-6302","issn":["2415-6302","2415-6310"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","norway-2","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Algebra","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3672783534","display_name":"Foundations and Applications of Tropical Geometry","funder_award_id":"EP/R02300X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6760999872","display_name":null,"funder_award_id":"PP00P2_150552/1","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320323471","display_name":"Universit\u00e9 de Fribourg","ror":"https://ror.org/022fs9h90"},{"id":"https://openalex.org/F4320327897","display_name":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften","ror":"https://ror.org/00ez2he07"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2799080672.pdf","grobid_xml":"https://content.openalex.org/works/W2799080672.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W30254118","https://openalex.org/W106288804","https://openalex.org/W327529882","https://openalex.org/W344618875","https://openalex.org/W1496383623","https://openalex.org/W1512087518","https://openalex.org/W1515066108","https://openalex.org/W1520269345","https://openalex.org/W1526218397","https://openalex.org/W1559674003","https://openalex.org/W1741136470","https://openalex.org/W1840693205","https://openalex.org/W1849958228","https://openalex.org/W1977826931","https://openalex.org/W1992284596","https://openalex.org/W1999562295","https://openalex.org/W2001432829","https://openalex.org/W2007956439","https://openalex.org/W2011940048","https://openalex.org/W2020102029","https://openalex.org/W2023368073","https://openalex.org/W2027697653","https://openalex.org/W2039660064","https://openalex.org/W2040371959","https://openalex.org/W2044317152","https://openalex.org/W2044916836","https://openalex.org/W2050021982","https://openalex.org/W2056060247","https://openalex.org/W2060185552","https://openalex.org/W2076080209","https://openalex.org/W2077039617","https://openalex.org/W2087609805","https://openalex.org/W2099113350","https://openalex.org/W2123323408","https://openalex.org/W2127769266","https://openalex.org/W2128896644","https://openalex.org/W2129380714","https://openalex.org/W2134937349","https://openalex.org/W2163871793","https://openalex.org/W2217732122","https://openalex.org/W2317351399","https://openalex.org/W2486762503","https://openalex.org/W2563805612","https://openalex.org/W2675009564","https://openalex.org/W2734752502","https://openalex.org/W2756350725","https://openalex.org/W2761188388","https://openalex.org/W2769900819","https://openalex.org/W2797157521","https://openalex.org/W2911463656","https://openalex.org/W2951659419","https://openalex.org/W2952342496","https://openalex.org/W2952374475","https://openalex.org/W2967179196","https://openalex.org/W4221070888","https://openalex.org/W4298006642","https://openalex.org/W4300302225","https://openalex.org/W6639575360"],"related_works":["https://openalex.org/W2763057505","https://openalex.org/W1665122517","https://openalex.org/W1663873761","https://openalex.org/W2052510964","https://openalex.org/W2129380714","https://openalex.org/W2088439431","https://openalex.org/W2026422890","https://openalex.org/W2063945525","https://openalex.org/W1985267682","https://openalex.org/W7147451671"],"abstract_inverted_index":{"We":[0],"extend":[1],"the":[2,14,29,35,42,49,53,62,76,83,87,93,96,104,108,120,124,145,149,193,197],"notion":[3],"of":[4,7,16,44,52,69,90,95,98,107,178,185,187],"face":[5,36,50],"rings":[6,161],"simplicial":[8,11,20,55,72],"complexes":[9,73],"and":[10,38,132,160],"posets":[12,21,159,177,184],"to":[13,48,163],"case":[15,115],"finite-length":[17],"(possibly":[18],"infinite)":[19],"with":[22,192],"a":[23,58,67,91,172],"group":[24,63,110],"action.":[25,111],"The":[26],"action":[27,33,121],"on":[28,34,61,71,119,196],"complex":[30,89],"induces":[31],"an":[32,116,139],"ring,":[37],"we":[39,174],"prove":[40,175],"that":[41,74,123,135,176],"ring":[43,51,97],"invariants":[45,99],"is":[46,86,127],"isomorphic":[47],"quotient":[54,125],"poset":[56,85,126],"under":[57,80],"mild":[59],"condition":[60,118,195],"action.We":[64],"also":[65],"identify":[66],"class":[68],"actions":[70],"preserve":[75],"homotopical":[77],"Cohen\u2013Macaulay":[78,128,191],"property":[79,147],"quotients.":[81],"When":[82],"acted-upon":[84],"independence":[88,158],"semimatroid,":[92],"h-polynomial":[94],"can":[100],"be":[101],"read":[102],"off":[103],"Tutte":[105],"polynomial":[106],"associated":[109,150,162],"Moreover,":[112],"in":[113,129],"this":[114,155],"additional":[117],"ensures":[122],"characteristic":[130,134],"0":[131],"every":[133],"does":[136],"not":[137],"divide":[138],"explicitly":[140],"computable":[141],"number.":[142],"This":[143],"implies":[144],"same":[146,194],"for":[148,157],"Stanley\u2013Reisner":[151],"rings.":[152],"In":[153],"particular,":[154],"holds":[156],"toric,":[164],"elliptic":[165],"and,":[166],"more":[167],"generally,":[168],"(p,q)":[169],"-arrangements.":[170],"As":[171],"byproduct,":[173],"connected":[179],"components":[180],"(also":[181],"known":[182],"as":[183],"layers)":[186],"such":[188],"arrangements":[189],"are":[190],"characteristic.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2018-05-07T00:00:00"}