{"id":"https://openalex.org/W7214944615","doi":"https://doi.org/10.48550/arxiv.2609.36922","title":"Degenerations of shifted symplectic moduli stacks of sheaves","display_name":"Degenerations of shifted symplectic moduli stacks of sheaves","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214944615","doi":"https://doi.org/10.48550/arxiv.2609.36922"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.36922","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36922","pdf_url":"https://arxiv.org/pdf/2609.36922","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/2609.36922","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094255464","display_name":"Matthew Huynh","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Huynh, Matthew","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5094255464"],"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":0.9359999895095825,"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":0.9359999895095825,"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":0.03669999912381172,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.023399999365210533,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/shifted-symplectic-structures","display_name":"shifted symplectic structures","score":0.9710000157356262},{"id":"https://openalex.org/keywords/calabi-yau-manifolds","display_name":"Calabi-Yau manifolds","score":0.7919999957084656},{"id":"https://openalex.org/keywords/derived-algebraic-geometry","display_name":"derived algebraic geometry","score":0.7910000085830688},{"id":"https://openalex.org/keywords/compact-module","display_name":"compact module","score":0.42899999022483826},{"id":"https://openalex.org/keywords/degeneration","display_name":"degeneration","score":0.7710000276565552},{"id":"https://openalex.org/keywords/enumerative-geometry","display_name":"enumerative geometry","score":0.9760000109672546}],"concepts":[{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.8532000184059143},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.7896000146865845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7882999777793884},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.7264999747276306},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.7186999917030334},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5476999878883362},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.48820000886917114},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3668999969959259},{"id":"https://openalex.org/C103751382","wikidata":"https://www.wikidata.org/wiki/Q4866384","display_name":"Base change","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C3387666","wikidata":"https://www.wikidata.org/wiki/Q6889798","display_name":"Moduli of algebraic curves","level":3,"score":0.30640000104904175},{"id":"https://openalex.org/C143161588","wikidata":"https://www.wikidata.org/wiki/Q906907","display_name":"Coherent sheaf","level":2,"score":0.29660001397132874},{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.2921999990940094},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.2915000021457672},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2858000099658966},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.26429998874664307}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.36922","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36922","pdf_url":"https://arxiv.org/pdf/2609.36922","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.2609.36922","doi":"https://doi.org/10.48550/arxiv.2609.36922","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.36922","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:2609.36922","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.36922","pdf_url":"https://arxiv.org/pdf/2609.36922","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/W7214944615.pdf","grobid_xml":"https://content.openalex.org/works/W7214944615.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W2798978644","https://openalex.org/W4385681361","https://openalex.org/W4404340884","https://openalex.org/W7106686842"],"related_works":["https://openalex.org/W2966583303","https://openalex.org/W2090947221","https://openalex.org/W2717171724","https://openalex.org/W1424865626","https://openalex.org/W1669995612","https://openalex.org/W4406045771","https://openalex.org/W2963890933","https://openalex.org/W7092361006","https://openalex.org/W3045662848","https://openalex.org/W2584580006"],"abstract_inverted_index":{"Let":[0],"$S$":[1],"be":[2,11],"a":[3,12,37,44,59,72],"smooth,":[4,13,60,90],"affine":[5],"noetherian":[6],"$\\mathbb{C}$-scheme,":[7],"and":[8,63],"let":[9],"$X/S$":[10,35],"quasi-projective":[14,91],"family":[15],"of":[16,26,29,46,69,74,77,87,89],"Calabi--Yau":[17,92],"$d$-folds.":[18],"We":[19],"prove":[20],"that":[21,54,94],"the":[22,55,75],"derived":[23],"moduli":[24,67,76],"stack":[25,68],"flat":[27],"families":[28,88],"properly":[30],"supported":[31],"coherent":[32],"sheaves":[33],"on":[34],"has":[36],"relative":[38],"$(2-d)$-shifted":[39],"symplectic":[40],"structure":[41],"by":[42],"generalizing":[43],"construction":[45],"Brav--Dyckerhoff.":[47],"The":[48],"main":[49],"points":[50],"are":[51,95],"to":[52,64],"show":[53],"category":[56],"$\\mathrm{IndCoh}(X)$":[57],"is":[58],"compact":[61],"$\\mathrm{QCoh}(S)$-module":[62],"identify":[65],"our":[66],"interest":[70],"as":[71],"substack":[73],"pseudo-perfect":[78],"objects":[79],"in":[80,100],"$\\mathrm{IndCoh}(X)$.":[81],"Finally,":[82],"we":[83],"discuss":[84],"two":[85],"examples":[86],"threefolds":[93],"potentially":[96],"useful":[97],"for":[98],"applications":[99],"enumerative":[101],"geometry.":[102]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}
