{"id":"https://openalex.org/W7225101467","doi":"https://doi.org/10.48550/arxiv.2610.42045","title":"Motivic invariants of birational hyper-K\u00e4hler manifolds","display_name":"Motivic invariants of birational hyper-K\u00e4hler manifolds","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W7225101467","doi":"https://doi.org/10.48550/arxiv.2610.42045"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.42045","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.42045","pdf_url":"https://arxiv.org/pdf/2610.42045","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/2610.42045","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160383665","display_name":"Weimufei Wu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wu, Weimufei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160383665"],"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":0.8651999831199646,"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":0.8651999831199646,"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":0.12080000340938568,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0026000000070780516,"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/hyperkahler-manifolds","display_name":"hyperk\u00e4hler manifolds","score":0.9409999847412109},{"id":"https://openalex.org/keywords/birational-equivalence","display_name":"birational equivalence","score":0.7770000100135803},{"id":"https://openalex.org/keywords/motivic-invariants","display_name":"motivic invariants","score":0.7570000290870667},{"id":"https://openalex.org/keywords/algebraic-k-theory","display_name":"algebraic K-theory","score":0.8140000104904175},{"id":"https://openalex.org/keywords/e-infinity-algebras","display_name":"E-infinity algebras","score":0.9020000100135803},{"id":"https://openalex.org/keywords/holomorphic-symplectic-manifolds","display_name":"holomorphic symplectic manifolds","score":0.8999999761581421},{"id":"https://openalex.org/keywords/stable-homotopy-category","display_name":"stable homotopy category","score":0.7770000100135803}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.819100022315979},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.7458999752998352},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.699400007724762},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.6966999769210815},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5206000208854675},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49380001425743103},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4489000141620636},{"id":"https://openalex.org/C78313660","wikidata":"https://www.wikidata.org/wiki/Q727659","display_name":"Commutative algebra","level":2,"score":0.38499999046325684},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.3806999921798706},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.34769999980926514},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.3400999903678894},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.3199999928474426},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C143161588","wikidata":"https://www.wikidata.org/wiki/Q906907","display_name":"Coherent sheaf","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C199793520","wikidata":"https://www.wikidata.org/wiki/Q4723996","display_name":"Algebraic cycle","level":3,"score":0.26510000228881836},{"id":"https://openalex.org/C130190758","wikidata":"https://www.wikidata.org/wiki/Q1064500","display_name":"Symplectic manifold","level":3,"score":0.2538999915122986},{"id":"https://openalex.org/C95857938","wikidata":"https://www.wikidata.org/wiki/Q658429","display_name":"Vector bundle","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.42045","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.42045","pdf_url":"https://arxiv.org/pdf/2610.42045","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.2610.42045","doi":"https://doi.org/10.48550/arxiv.2610.42045","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.42045","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.42045","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.42045","pdf_url":"https://arxiv.org/pdf/2610.42045","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/W7225101467.pdf","grobid_xml":"https://content.openalex.org/works/W7225101467.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1787067158","https://openalex.org/W2099114199","https://openalex.org/W2974404131","https://openalex.org/W4293307980","https://openalex.org/W4394652409","https://openalex.org/W4411139050"],"related_works":["https://openalex.org/W2608172998","https://openalex.org/W3090848030","https://openalex.org/W2139833895","https://openalex.org/W7097221877","https://openalex.org/W2150957107","https://openalex.org/W7029284569","https://openalex.org/W4400221995","https://openalex.org/W7126087762","https://openalex.org/W4399139628","https://openalex.org/W4296963583"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"birational":[3],"projective":[4],"irreducible":[5],"holomorphic":[6],"symplectic":[7],"manifolds":[8],"have":[9],"equivalent":[10,27],"integral":[11,32],"cohomological":[12],"motives":[13],"as":[14,28],"commutative":[15],"algebra":[16],"objects":[17],"in":[18],"$\\mathrm{SH}(\\mathbb":[19],"C)$.":[20],"Consequently,":[21],"their":[22,31],"algebraic":[23],"K-theory":[24,34],"spectra":[25],"are":[26,36],"$E_\\infty$-algebras,":[29],"and":[30],"graded":[33],"rings":[35],"isomorphic.":[37]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-03T00:00:00"}
