{"title":"Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypregeometric system","authors":"Atsuhira Nagano","doi":"arxiv-2408.14271","DOIUrl":null,"url":null,"abstract":"We determine a simple expression of the Picard-Fuchs system for a family of\nKummer surfaces for all principally polarized Abelian surfaces. It is given by\na system of linear partial differential equations in three variables of rank\nfive. Our results are based on a Jacobian elliptic fibration on Kummer surfaces\nand a GKZ hypergeometric system suited to the elliptic fibration.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"400 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14271","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We determine a simple expression of the Picard-Fuchs system for a family of
Kummer surfaces for all principally polarized Abelian surfaces. It is given by
a system of linear partial differential equations in three variables of rank
five. Our results are based on a Jacobian elliptic fibration on Kummer surfaces
and a GKZ hypergeometric system suited to the elliptic fibration.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
