{"id":"https://openalex.org/W7220682941","doi":"https://doi.org/10.48550/arxiv.2610.04603","title":"Decomposition of toric sheaves","display_name":"Decomposition of toric sheaves","publication_year":2026,"publication_date":"2026-10-03","ids":{"openalex":"https://openalex.org/W7220682941","doi":"https://doi.org/10.48550/arxiv.2610.04603"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.04603","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04603","pdf_url":"https://arxiv.org/pdf/2610.04603","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/2610.04603","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082826252","display_name":"Carl Tipler","orcid":"https://orcid.org/0000-0003-1388-7213","observed_orcids":["https://orcid.org/0000-0003-1388-7213"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tipler, Carl","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5082826252"],"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9804999828338623,"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"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9804999828338623,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.009200000204145908,"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"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.0024999999441206455,"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/coherent-sheaves","display_name":"coherent sheaves","score":0.8519999980926514},{"id":"https://openalex.org/keywords/serre-subcategories","display_name":"Serre subcategories","score":0.8809999823570251},{"id":"https://openalex.org/keywords/abelian-categories","display_name":"abelian categories","score":0.777999997138977},{"id":"https://openalex.org/keywords/reflexive-sheaves","display_name":"reflexive sheaves","score":0.824999988079071},{"id":"https://openalex.org/keywords/push-forward","display_name":"pushforward","score":0.7639999985694885},{"id":"https://openalex.org/keywords/cohomology","display_name":"cohomology","score":0.765999972820282}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8065999746322632},{"id":"https://openalex.org/C143161588","wikidata":"https://www.wikidata.org/wiki/Q906907","display_name":"Coherent sheaf","level":2,"score":0.7226999998092651},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6139000058174133},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5690000057220459},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5465999841690063},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5062999725341797},{"id":"https://openalex.org/C5052557","wikidata":"https://www.wikidata.org/wiki/Q1528306","display_name":"Toric variety","level":2,"score":0.49729999899864197},{"id":"https://openalex.org/C95857938","wikidata":"https://www.wikidata.org/wiki/Q658429","display_name":"Vector bundle","level":2,"score":0.4553999900817871},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44040000438690186},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.43220001459121704},{"id":"https://openalex.org/C186921422","wikidata":"https://www.wikidata.org/wiki/Q318737","display_name":"Abelian category","level":3,"score":0.31349998712539673},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.3116999864578247},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C109593458","wikidata":"https://www.wikidata.org/wiki/Q5262626","display_name":"Derived category","level":3,"score":0.2745000123977661},{"id":"https://openalex.org/C4017995","wikidata":"https://www.wikidata.org/wiki/Q595298","display_name":"Sheaf","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C93067474","wikidata":"https://www.wikidata.org/wiki/Q1493952","display_name":"Sheaf cohomology","level":4,"score":0.2637999951839447},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.2535000145435333}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.04603","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04603","pdf_url":"https://arxiv.org/pdf/2610.04603","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.2610.04603","doi":"https://doi.org/10.48550/arxiv.2610.04603","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.04603","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.04603","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04603","pdf_url":"https://arxiv.org/pdf/2610.04603","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220682941.pdf","grobid_xml":"https://content.openalex.org/works/W7220682941.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4405090357","https://openalex.org/W7092296367"],"related_works":["https://openalex.org/W4405090357","https://openalex.org/W4406440862","https://openalex.org/W3103424700","https://openalex.org/W2952018177","https://openalex.org/W3135050949","https://openalex.org/W2094575529","https://openalex.org/W7062827761","https://openalex.org/W2789458032","https://openalex.org/W4417523327","https://openalex.org/W1790558899"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"the":[3],"abelian":[4],"category":[5],"of":[6,18,38],"coherent":[7,43],"toric":[8,39,44],"sheaves":[9,22],"is":[10],"generated,":[11],"as":[12],"a":[13],"Serre":[14],"subcategory,":[15],"by":[16,34],"pushforwards":[17],"rank":[19],"one":[20],"reflexive":[21],"supported":[23],"on":[24,36],"invariant":[25],"subvarieties.":[26],"As":[27],"an":[28],"application,":[29],"we":[30],"extend":[31],"previous":[32],"results":[33],"Klyachko":[35],"cohomology":[37],"vector":[40],"bundles":[41],"to":[42],"sheaves.":[45]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}
