{"id":"https://openalex.org/W7203709899","doi":"https://doi.org/10.48550/arxiv.2608.16013","title":"Stability conditions supported on Lefschetz classes","display_name":"Stability conditions supported on Lefschetz classes","publication_year":2026,"publication_date":"2026-08-17","ids":{"openalex":"https://openalex.org/W7203709899","doi":"https://doi.org/10.48550/arxiv.2608.16013"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.16013","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16013","pdf_url":"https://arxiv.org/pdf/2608.16013","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/2608.16013","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026388192","display_name":"Franco Giovenzana","orcid":"https://orcid.org/0000-0001-8459-3306","observed_orcids":["https://orcid.org/0000-0001-8459-3306"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giovenzana, Franco","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093487591","display_name":"Antonios-Alexandros Robotis","orcid":"https://orcid.org/0009-0009-3071-7727","observed_orcids":["https://orcid.org/0009-0009-3071-7727"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robotis, Antonios-Alexandros","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035159575","display_name":"Franco Rota","orcid":"https://orcid.org/0000-0001-6934-0749","observed_orcids":["https://orcid.org/0000-0001-6934-0749"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rota, Franco","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5099582885","display_name":"Vanja Zuliani","orcid":"https://orcid.org/0009-0006-1969-7057","observed_orcids":["https://orcid.org/0009-0006-1969-7057"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zuliani, Vanja","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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9101999998092651,"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":0.9101999998092651,"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":0.08139999955892563,"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":0.0013000000035390258,"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/stability-conditions","display_name":"stability conditions","score":0.9940000176429749},{"id":"https://openalex.org/keywords/derived-categories","display_name":"derived categories","score":0.7689999938011169},{"id":"https://openalex.org/keywords/support-properties","display_name":"support properties","score":0.8069999814033508},{"id":"https://openalex.org/keywords/divisor-classes","display_name":"divisor classes","score":0.8960000276565552},{"id":"https://openalex.org/keywords/smooth-complex-projective-varieties","display_name":"smooth complex projective varieties","score":0.8080000281333923},{"id":"https://openalex.org/keywords/derived-category-of-coherent-sheaves","display_name":"derived categories of coherent sheaves","score":0.5379999876022339}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8970999717712402},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6868000030517578},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.6517999768257141},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.6473000049591064},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.5357999801635742},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.48890000581741333},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4830999970436096},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.46700000762939453},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.46369999647140503},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45570001006126404},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.41280001401901245},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.34439998865127563},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.33169999718666077},{"id":"https://openalex.org/C134949993","wikidata":"https://www.wikidata.org/wiki/Q2068617","display_name":"Pencil (optics)","level":2,"score":0.321399986743927},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3027999997138977},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.295199990272522},{"id":"https://openalex.org/C5052557","wikidata":"https://www.wikidata.org/wiki/Q1528306","display_name":"Toric variety","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C4017995","wikidata":"https://www.wikidata.org/wiki/Q595298","display_name":"Sheaf","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C62139920","wikidata":"https://www.wikidata.org/wiki/Q3554818","display_name":"Projective variety","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C28890030","wikidata":"https://www.wikidata.org/wiki/Q5156610","display_name":"Complex torus","level":3,"score":0.26260000467300415},{"id":"https://openalex.org/C201482947","wikidata":"https://www.wikidata.org/wiki/Q7524253","display_name":"Singular point of an algebraic variety","level":5,"score":0.25699999928474426},{"id":"https://openalex.org/C69653121","wikidata":"https://www.wikidata.org/wiki/Q1434805","display_name":"Algebraic surface","level":3,"score":0.2540999948978424}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.16013","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16013","pdf_url":"https://arxiv.org/pdf/2608.16013","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.2608.16013","doi":"https://doi.org/10.48550/arxiv.2608.16013","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.16013","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:2608.16013","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16013","pdf_url":"https://arxiv.org/pdf/2608.16013","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203709899.pdf","grobid_xml":"https://content.openalex.org/works/W7203709899.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W2154483904","https://openalex.org/W4318719550","https://openalex.org/W4400065153","https://openalex.org/W4404306506","https://openalex.org/W4406032186","https://openalex.org/W4416260796","https://openalex.org/W7126027916","https://openalex.org/W7127195900","https://openalex.org/W7131378046","https://openalex.org/W7171927853","https://openalex.org/W7203624850","https://openalex.org/W7221012638"],"related_works":["https://openalex.org/W7127195900","https://openalex.org/W1563771464","https://openalex.org/W7167606907","https://openalex.org/W3167035769","https://openalex.org/W3031448899","https://openalex.org/W7100837968","https://openalex.org/W3138666377","https://openalex.org/W7117875598","https://openalex.org/W2017725316","https://openalex.org/W2022060727"],"abstract_inverted_index":{"Recently,":[0],"C.":[1],"Li":[2],"constructed":[3],"stability":[4,17,45],"conditions":[5,18,46],"on":[6,50],"the":[7,20,28],"derived":[8],"categories":[9],"of":[10,23,35,69],"all":[11,64],"smooth":[12,65,75],"complex":[13,66],"projective":[14,67,76],"varieties.":[15,78],"These":[16],"satisfy":[19],"support":[21,49],"property":[22],"Kontsevich-Soibelman":[24],"with":[25,47],"respect":[26],"to":[27,43],"lattice":[29],"in":[30],"cohomology":[31,56],"generated":[32,58],"by":[33,59],"powers":[34],"an":[36],"ample":[37],"class.":[38],"We":[39],"extend":[40],"Li's":[41],"results":[42],"construct":[44],"full":[48],"Lefschetz":[51],"type":[52],"varieties":[53,68],"whose":[54],"algebraic":[55],"is":[57],"divisor":[60],"classes.":[61],"This":[62],"includes":[63],"dimension":[70],"at":[71],"most":[72],"3":[73],"and":[74],"toric":[77]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-19T00:00:00"}
