{"id":"https://openalex.org/W7214944932","doi":"https://doi.org/10.48550/arxiv.2609.37610","title":"Schreyer Resolutions over the Exterior Algebra","display_name":"Schreyer Resolutions over the Exterior Algebra","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214944932","doi":"https://doi.org/10.48550/arxiv.2609.37610"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.37610","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37610","pdf_url":"https://arxiv.org/pdf/2609.37610","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.37610","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111626500","display_name":"Janko Boehm","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Boehm, Janko","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5124924817","display_name":"Lakshmi Ramesh","orcid":"https://orcid.org/0009-0004-1788-5017","observed_orcids":["https://orcid.org/0009-0004-1788-5017"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ramesh, Lakshmi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.7437000274658203,"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":0.7437000274658203,"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":0.20280000567436218,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.013399999588727951,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/free-resolutions","display_name":"free resolutions","score":0.8759999871253967},{"id":"https://openalex.org/keywords/exterior-algebra","display_name":"exterior algebra","score":0.9940000176429749},{"id":"https://openalex.org/keywords/projective-space","display_name":"projective space","score":0.9909999966621399},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"parallel computing","score":0.8090000152587891}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6664000153541565},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.5494999885559082},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5209000110626221},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5131000280380249},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49619999527931213},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.43309998512268066},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.42570000886917114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36649999022483826},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.34869998693466187},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3463999927043915},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3391000032424927},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.2980000078678131},{"id":"https://openalex.org/C55101346","wikidata":"https://www.wikidata.org/wiki/Q85776755","display_name":"Hilbert's syzygy theorem","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.28290000557899475},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C94863793","wikidata":"https://www.wikidata.org/wiki/Q1196652","display_name":"Exterior algebra","level":3,"score":0.27469998598098755},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C106639798","wikidata":"https://www.wikidata.org/wiki/Q1701125","display_name":"Laurent polynomial","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.2667999863624573},{"id":"https://openalex.org/C2777041388","wikidata":"https://www.wikidata.org/wiki/Q6664297","display_name":"Local cohomology","level":3,"score":0.26669999957084656},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C32268108","wikidata":"https://www.wikidata.org/wiki/Q942423","display_name":"Projective module","level":3,"score":0.2572999894618988},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2554999887943268}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.37610","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37610","pdf_url":"https://arxiv.org/pdf/2609.37610","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":"doi:10.48550/arxiv.2609.37610","doi":"https://doi.org/10.48550/arxiv.2609.37610","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.37610","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.37610","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37610","pdf_url":"https://arxiv.org/pdf/2609.37610","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G251152387","display_name":null,"funder_award_id":"TRR195","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3556932044","display_name":"TRR 195: Symbolische Werkzeuge in der Mathematik und ihre Anwendung","funder_award_id":"286237555","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214944932.pdf","grobid_xml":"https://content.openalex.org/works/W7214944932.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4391158416"],"related_works":["https://openalex.org/W2081788155","https://openalex.org/W7096960895","https://openalex.org/W4394639354","https://openalex.org/W7169808365","https://openalex.org/W1623168034","https://openalex.org/W2737893531","https://openalex.org/W2016847085","https://openalex.org/W2161202122","https://openalex.org/W2016476549","https://openalex.org/W2059962734"],"abstract_inverted_index":{"Schreyer's":[0,29,77],"algorithm":[1,30,50],"is":[2],"usually":[3],"the":[4,36,46,52,64,74,87],"fastest":[5],"way":[6],"to":[7,31,114],"determine":[8],"a":[9,15,20,25,81,98],"(typically":[10],"non-minimal)":[11],"free":[12,33,71],"resolution":[13],"of":[14,28,48,54,56],"finitely":[16],"presented":[17],"module":[18],"over":[19,35,59,73,107,113],"polynomial":[21,108],"ring.":[22],"We":[23,44,92],"adapt":[24],"refined":[26],"version":[27],"compute":[32],"resolutions":[34,72],"exterior":[37,75],"algebra,":[38],"relying":[39],"on":[40,80,94,97],"relative":[41],"Groebner":[42],"bases.":[43],"illustrate":[45],"use":[47],"our":[49,115],"for":[51,89],"computation":[53],"cohomology":[55],"coherent":[57],"sheaves":[58],"projective":[60],"space,":[61],"which":[62],"by":[63],"BGG":[65],"correspondence":[66],"can":[67,110],"be":[68,111],"computed":[69],"via":[70],"algebra.":[76],"method":[78],"relies":[79],"tree":[82],"traversal":[83],"and":[84],"thus":[85],"has":[86],"potential":[88],"parallel":[90,100,105],"computations.":[91],"report":[93],"ongoing":[95],"work":[96],"massively":[99],"implementation,":[101],"observing":[102],"that":[103],"Gnawali's":[104],"approach":[106],"rings":[109],"carried":[112],"setting.":[116]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}
