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IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-03-13 DOI:10.1016/j.jpaa.2025.107946

N. Mohan Kumar , Poornapushkala Narayanan , A.J. Parameswaran

引用次数: 0

摘要

在本文中，我们证明了任何光滑射影 variety X，只要它是射影空间 Pn（n≥2）的双盖，就会有一个乌尔里希束。当 n=2 时，我们证明在任何这样的 X 上都有一个秩为 2 的乌尔里希束。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Ulrich bundles on double covers of projective spaces

In this article, we prove that any smooth projective variety X which is a double cover of the projective space

P^{n}

(

n \geq 2

) admits an Ulrich bundle. When

n = 2

, we show that on any such X, there is an Ulrich bundle of rank two.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

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.