{"title":"On the slope stability of the cotangent bundles of Weierstrass fibrations","authors":"Valentin Boboc","doi":"10.1007/s00013-023-01958-8","DOIUrl":null,"url":null,"abstract":"<div><p>We provide a full classification of the slope stability of the cotangent bundles of relatively minimal smooth Weierstrass fibrations. The classification only depends on the topological Euler characteristic of the surface and the genus of the base curve.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"122 4","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-01-17","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/s00013-023-01958-8","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
We provide a full classification of the slope stability of the cotangent bundles of relatively minimal smooth Weierstrass fibrations. The classification only depends on the topological Euler characteristic of the surface and the genus of the base curve.
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.
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