On a special class of rank two vector bundles on projective surfaces

IF 0.5 4区 数学 Q3 MATHEMATICS
Antonio Lanteri, Andrew J. Sommese
{"title":"On a special class of rank two vector bundles on projective surfaces","authors":"Antonio Lanteri,&nbsp;Andrew J. Sommese","doi":"10.1007/s00013-025-02154-6","DOIUrl":null,"url":null,"abstract":"<div><p>A relevant property of spanned vector bundles of rank <i>N</i> on a normal projective variety of dimension <i>N</i> having top Chern class 1 is presented and several examples are discussed. Moreover, such vector bundles with ample determinant are classified for <span>\\(N=2\\)</span>.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"125 4","pages":"389 - 397"},"PeriodicalIF":0.5000,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-025-02154-6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

A relevant property of spanned vector bundles of rank N on a normal projective variety of dimension N having top Chern class 1 is presented and several examples are discussed. Moreover, such vector bundles with ample determinant are classified for \(N=2\).

射影表面上一类特殊的秩向量束
给出了在N维的正规射影簇上具有上陈氏类1的秩N张成向量束的一个相关性质,并讨论了几个例子。此外,这种具有充足行列式的向量束被分类为\(N=2\)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Archiv der Mathematik
Archiv der Mathematik 数学-数学
CiteScore
1.10
自引率
0.00%
发文量
117
审稿时长
4-8 weeks
期刊介绍: Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信