曲线上平凡束的极限

IF 0.9 Q2 MATHEMATICS Epijournal de Geometrie Algebrique Pub Date : 2017-12-20 DOI:10.46298/epiga.2018.volume2.4454

A. Beauville

{"title":"曲线上平凡束的极限","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":"{\"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}","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

摘要

我们试图描述曲线C上的2阶向量束，它们是平凡束的特化。当Cis Brill-Noether泛型或超椭圆时，我们得到了一个完备的分类;在这两种情况下，所有的极限向量束都是可分解的。我们给出了一些特殊曲线的不可分解极限束的例子。评论:最终版本，发表在Epiga

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Limits of the trivial bundle on a curve

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

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊