{"id":"https://openalex.org/W1519737638","doi":"https://doi.org/10.1112/jlms/jdv041","title":"Character formulas on cohomology of deformations of Hilbert schemes of<i>K</i>3 surfaces","display_name":"Character formulas on cohomology of deformations of Hilbert schemes of<i>K</i>3 surfaces","publication_year":2015,"publication_date":"2015-10-16","ids":{"openalex":"https://openalex.org/W1519737638","doi":"https://doi.org/10.1112/jlms/jdv041","mag":"1519737638"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdv041","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv041","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1301.6129","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Letao Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Letao Zhang","raw_affiliation_strings":["Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.02514927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"92","issue":"3","first_page":"675","last_page":"688"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.732699990272522,"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":0.732699990272522,"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":0.10260000079870224,"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":0.07859999686479568,"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/cohomology","display_name":"Cohomology","score":0.6394000053405762},{"id":"https://openalex.org/keywords/hilbert-scheme","display_name":"Hilbert scheme","score":0.633899986743927},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.6036999821662903},{"id":"https://openalex.org/keywords/hilbert-manifold","display_name":"Hilbert manifold","score":0.47269999980926514},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4650000035762787},{"id":"https://openalex.org/keywords/deformation-theory","display_name":"Deformation theory","score":0.44999998807907104},{"id":"https://openalex.org/keywords/cohomology-ring","display_name":"Cohomology ring","score":0.435699999332428},{"id":"https://openalex.org/keywords/complex-manifold","display_name":"Complex manifold","score":0.4156000018119812},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.41029998660087585}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8805000185966492},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.6394000053405762},{"id":"https://openalex.org/C150279058","wikidata":"https://www.wikidata.org/wiki/Q5761225","display_name":"Hilbert scheme","level":2,"score":0.633899986743927},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.6036999821662903},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.599399983882904},{"id":"https://openalex.org/C147493315","wikidata":"https://www.wikidata.org/wiki/Q3554824","display_name":"Hilbert manifold","level":3,"score":0.47269999980926514},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4650000035762787},{"id":"https://openalex.org/C18109118","wikidata":"https://www.wikidata.org/wiki/Q5251702","display_name":"Deformation theory","level":2,"score":0.44999998807907104},{"id":"https://openalex.org/C2779185822","wikidata":"https://www.wikidata.org/wiki/Q5141399","display_name":"Cohomology ring","level":4,"score":0.435699999332428},{"id":"https://openalex.org/C27602778","wikidata":"https://www.wikidata.org/wiki/Q578874","display_name":"Complex manifold","level":3,"score":0.4156000018119812},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41029998660087585},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4047999978065491},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.38920000195503235},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38589999079704285},{"id":"https://openalex.org/C2776933995","wikidata":"https://www.wikidata.org/wiki/Q4444341","display_name":"Hodge structure","level":3,"score":0.38530001044273376},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.37720000743865967},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.3603000044822693},{"id":"https://openalex.org/C68365058","wikidata":"https://www.wikidata.org/wiki/Q1179446","display_name":"De Rham cohomology","level":4,"score":0.34869998693466187},{"id":"https://openalex.org/C185982889","wikidata":"https://www.wikidata.org/wiki/Q5761255","display_name":"Hilbert\u2013Poincar\u00e9 series","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C155069649","wikidata":"https://www.wikidata.org/wiki/Q1317202","display_name":"Hodge theory","level":3,"score":0.30399999022483826},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.2833999991416931},{"id":"https://openalex.org/C195912565","wikidata":"https://www.wikidata.org/wiki/Q6664565","display_name":"Local system","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2513999938964844},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.25029999017715454},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.25}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1112/jlms/jdv041","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv041","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1301.6129","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1301.6129","pdf_url":"https://arxiv.org/pdf/1301.6129","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1301.6129","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1301.6129","pdf_url":"https://arxiv.org/pdf/1301.6129","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W153673774","https://openalex.org/W199379588","https://openalex.org/W1491627859","https://openalex.org/W1538893142","https://openalex.org/W1942165802","https://openalex.org/W1976677460","https://openalex.org/W1984044504","https://openalex.org/W1985313946","https://openalex.org/W2035326081","https://openalex.org/W2059097882","https://openalex.org/W2063870783","https://openalex.org/W2070603816","https://openalex.org/W2093570051","https://openalex.org/W2121902166","https://openalex.org/W2136383489","https://openalex.org/W2155404818","https://openalex.org/W2198578255","https://openalex.org/W2214822119","https://openalex.org/W2609914080","https://openalex.org/W2963016522","https://openalex.org/W2963493379","https://openalex.org/W2964067059","https://openalex.org/W6654642098","https://openalex.org/W6660026986","https://openalex.org/W6671834150","https://openalex.org/W6794230840"],"related_works":[],"abstract_inverted_index":{"Let":[0],"X":[1,62],"be":[2],"a":[3,9,16,40],"hyperk\u00e4hler":[4],"manifold":[5],"deformation":[6],"equivalent":[7],"to":[8],"Hilbert":[10],"scheme":[11],"of":[12,26,36,47,58],"n":[13],"points":[14],"on":[15,32,51,61],"K":[17],"3":[18],"surface.":[19],"We":[20],"compute":[21],"the":[22,27,33,45,56],"graded":[23],"character":[24],"formula":[25,54],"generic":[28],"Mumford\u2013Tate":[29],"group":[30],"representation":[31],"cohomology":[34],"ring":[35],"X,":[37],"and":[38],"derive":[39],"generating":[41],"series":[42],"for":[43],"deducing":[44],"number":[46,57],"canonical":[48],"Hodge":[49,59,65],"classes":[50,60],"X.":[52],"The":[53],"indicates":[55],"that":[63],"remain":[64],"under":[66],"any":[67],"deformation.":[68]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}