{"title":"射影表面上一类特殊的秩向量束","authors":"Antonio Lanteri, 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":"{\"title\":\"On a special class of rank two vector bundles on projective surfaces\",\"authors\":\"Antonio Lanteri, 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}","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}
On a special class of rank two vector bundles on projective surfaces
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 \(N=2\).
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.