{"id":"https://openalex.org/W2963988904","doi":"https://doi.org/10.1080/10586458.2015.1128370","title":"Non-Normal Very Ample Polytopes \u2013 Constructions and Examples","display_name":"Non-Normal Very Ample Polytopes \u2013 Constructions and Examples","publication_year":2016,"publication_date":"2016-07-13","ids":{"openalex":"https://openalex.org/W2963988904","doi":"https://doi.org/10.1080/10586458.2015.1128370","mag":"2963988904"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1128370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1128370","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1406.4070","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063469618","display_name":"Micha\u0142 Laso\u0144","orcid":"https://orcid.org/0000-0003-4830-2270"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["CH","PL"],"is_corresponding":true,"raw_author_name":"Micha\u0142 Laso\u0144","raw_affiliation_strings":["Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, EPFL-SB-MATHGEOM/DCG, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, EPFL-SB-MATHGEOM/DCG, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031772159","display_name":"Mateusz Micha\u0142ek","orcid":"https://orcid.org/0000-0002-6081-786X"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE","PL"],"is_corresponding":true,"raw_author_name":"Mateusz Micha\u0142ek","raw_affiliation_strings":["Freie Universit\u00e4t, Berlin, Germany","Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031772159","https://openalex.org/A5063469618"],"corresponding_institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I5124864","https://openalex.org/I75951250","https://openalex.org/I99542240"],"apc_list":null,"apc_paid":null,"fwci":0.6635,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73402256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"2","first_page":"130","last_page":"137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.998199999332428,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9950000047683716,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9879000186920166,"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/polytope","display_name":"Polytope","score":0.8320132493972778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7991679906845093},{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.5919209122657776},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5712609887123108},{"id":"https://openalex.org/keywords/hilbert-series-and-hilbert-polynomial","display_name":"Hilbert series and Hilbert polynomial","score":0.5038208365440369},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.472383975982666},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32854920625686646},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2881143093109131},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.07762730121612549}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8320132493972778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7991679906845093},{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.5919209122657776},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5712609887123108},{"id":"https://openalex.org/C57033185","wikidata":"https://www.wikidata.org/wiki/Q5761236","display_name":"Hilbert series and Hilbert polynomial","level":3,"score":0.5038208365440369},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.472383975982666},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32854920625686646},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2881143093109131},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.07762730121612549}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10586458.2015.1128370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1128370","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1406.4070","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.4070","pdf_url":"https://arxiv.org/pdf/1406.4070","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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:boris.unibe.ch:109148","is_oa":false,"landing_page_url":"https://boris.unibe.ch/109148/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401086","display_name":"Bern Open Repository and Information System (University of Bern)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118564535","host_organization_name":"University of Bern","host_organization_lineage":["https://openalex.org/I118564535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lason, Michael; Micha\u0142ek, Mateusz (2017). Non-normal very ample polytopes-constructions and examples. Experimental mathematics, 26(2), pp. 130-137. Taylor & Francis 10.1080/10586458.2015.1128370 <http://dx.doi.org/10.1080/10586458.2015.1128370>","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:227581","is_oa":false,"landing_page_url":"http://infoscience.epfl.ch/record/227581","pdf_url":null,"source":{"id":"https://openalex.org/S4306400488","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1406.4070","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.4070","pdf_url":"https://arxiv.org/pdf/1406.4070","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1157854004","https://openalex.org/W1495246446","https://openalex.org/W1521877949","https://openalex.org/W1611929244","https://openalex.org/W1639261687","https://openalex.org/W1869028109","https://openalex.org/W1979423085","https://openalex.org/W1984810622","https://openalex.org/W1985503783","https://openalex.org/W1989517190","https://openalex.org/W2010209077","https://openalex.org/W2015204982","https://openalex.org/W2015676663","https://openalex.org/W2023909256","https://openalex.org/W2081659888","https://openalex.org/W2085116874","https://openalex.org/W2094227518","https://openalex.org/W2175098281","https://openalex.org/W2233474732","https://openalex.org/W2301009273","https://openalex.org/W2566917795","https://openalex.org/W2801696916","https://openalex.org/W2804376067","https://openalex.org/W2951723077","https://openalex.org/W2962750606","https://openalex.org/W2963397268","https://openalex.org/W3102395303","https://openalex.org/W4205502224"],"related_works":["https://openalex.org/W2561312639","https://openalex.org/W3123480064","https://openalex.org/W4291654916","https://openalex.org/W2952336760","https://openalex.org/W2929286651","https://openalex.org/W2807523545","https://openalex.org/W4300578962","https://openalex.org/W3123757586","https://openalex.org/W4297201749","https://openalex.org/W2060483042"],"abstract_inverted_index":{"We":[0],"answer":[1],"several":[2],"questions":[3],"posed":[4],"by":[5,130],"Beck,":[6,62],"Cox,":[7,26],"Delgado,":[8,64],"Gubeladze,":[9,66],"Haase,":[10],"Hibi,":[11,30,103],"Higashitani,":[12],"and":[13,31,67,72,91,104,160],"Maclagan":[14],"in":[15],"[Cox":[16,20],"et":[17,21,54,58,93,97],"al.":[18,22,55,59,94,98],"14":[19],"14]":[23],"D.":[24,105],"A.":[25,32],"C.":[27,100],"Hasse,":[28,101],"T.":[29,102],"Higashitani.":[33],"\u201cInteger":[34],"Decomposition":[35],"Property":[36],"of":[37,83,110,135,146],"Dilated":[38],"Polytopes.\u201d":[39],"Electr.":[40],"J.":[41,63,65,76],"Comb.":[42,78],"21:4":[43],"(2014),":[44],"4\u201328.":[45],"[Google":[46,87,119],"Scholar],":[47,88,120],"Question":[48,51,127],"3.5":[49],"(1),(2),":[50],"3.6],":[52],"[Beck":[53,57],"15":[56],"15]":[60],"M.":[61,68],"Micha\u0142ek.":[69],"\u201cVery":[70],"Ample":[71],"Koszul":[73],"Segmental":[74],"Fibrations.\u201d":[75],"Algebraic":[77],"42:1":[79],"(2015),":[80],"165\u2013182.[Crossref],":[81],"[Web":[82],"Science":[84],"\u00ae]":[85],",":[86],"Conjecture":[89],"3.5(a),(b)],":[90],"[Hasse":[92,96],"07":[95],"07]":[99],"Maclagan.":[106],"\u201cMini-Workshop:":[107],"Projective":[108],"Normality":[109],"Smooth":[111],"Toric":[112],"Varieties.\u201d":[113],"Oberwolfach":[114],"Rep.":[115],"4:3":[116],"(2007),":[117],"2283\u20132320.":[118],"Open":[121],"question":[122],"3":[123],"(a),(b)":[124],"p.":[125,128],"2310,":[126],"2316]":[129],"constructing":[131],"a":[132],"new":[133],"family":[134],"non-normal":[136],"very":[137],"ample":[138],"polytopes.":[139],"These":[140],"polytopes":[141],"are":[142],"certain":[143],"segmental":[144],"fibrations":[145],"unimodular":[147],"graph":[148],"polytopes,":[149],"we":[150],"explicitly":[151],"compute":[152],"their":[153],"invariants":[154],"\u2013":[155],"Hilbert":[156],"function,":[157],"Ehrhart":[158],"polynomial,":[159],"gap":[161],"vector.":[162]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}