{"title":"Limits of the trivial bundle on a curve","authors":"A. Beauville","doi":"10.46298/epiga.2018.volume2.4454","DOIUrl":null,"url":null,"abstract":"We attempt to describe the rank 2 vector bundles on a curve C which are\nspecializations of the trivial bundle. We get a complete classifications when C\nis Brill-Noether generic, or when it is hyperelliptic; in both cases all limit\nvector bundles are decomposable. We give examples of indecomposable limit\nbundles for some special curves.\n\n Comment: Final version, published in Epiga","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2018.volume2.4454","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We attempt to describe the rank 2 vector bundles on a curve C which are
specializations of the trivial bundle. We get a complete classifications when C
is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit
vector bundles are decomposable. We give examples of indecomposable limit
bundles for some special curves.
Comment: Final version, published in Epiga
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
