N. Mohan Kumar , Poornapushkala Narayanan , A.J. Parameswaran
{"title":"Ulrich bundles on double covers of projective spaces","authors":"N. Mohan Kumar , Poornapushkala Narayanan , A.J. Parameswaran","doi":"10.1016/j.jpaa.2025.107946","DOIUrl":null,"url":null,"abstract":"<div><div>In this article, we prove that any smooth projective variety <em>X</em> which is a double cover of the projective space <span><math><msup><mrow><mi>P</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> (<span><math><mi>n</mi><mo>≥</mo><mn>2</mn></math></span>) admits an Ulrich bundle. When <span><math><mi>n</mi><mo>=</mo><mn>2</mn></math></span>, we show that on any such <em>X</em>, there is an Ulrich bundle of rank two.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 6","pages":"Article 107946"},"PeriodicalIF":0.8000,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404925000854","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we prove that any smooth projective variety X which is a double cover of the projective space () admits an Ulrich bundle. When , we show that on any such X, there is an Ulrich bundle of rank two.
期刊介绍：
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
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