{"title":"K3曲面上轴的点和模空间的Hilbert格式的改进Verlinde公式","authors":"L. Gottsche","doi":"10.46298/epiga.2020.volume4.5282","DOIUrl":null,"url":null,"abstract":"We compute generating functions for elliptic genera with values in line\nbundles on Hilbert schemes of points on surfaces. As an application we also\ncompute generating functions for elliptic genera with values in determinant\nline bundles on moduli spaces of sheaves on K3 surfaces.\n","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2019-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Refined Verlinde formulas for Hilbert schemes of points and moduli\\n spaces of sheaves on K3 surfaces\",\"authors\":\"L. Gottsche\",\"doi\":\"10.46298/epiga.2020.volume4.5282\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We compute generating functions for elliptic genera with values in line\\nbundles on Hilbert schemes of points on surfaces. As an application we also\\ncompute generating functions for elliptic genera with values in determinant\\nline bundles on moduli spaces of sheaves on K3 surfaces.\\n\",\"PeriodicalId\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2019-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2020.volume4.5282\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2020.volume4.5282","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Refined Verlinde formulas for Hilbert schemes of points and moduli
spaces of sheaves on K3 surfaces
We compute generating functions for elliptic genera with values in line
bundles on Hilbert schemes of points on surfaces. As an application we also
compute generating functions for elliptic genera with values in determinant
line bundles on moduli spaces of sheaves on K3 surfaces.
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