Ulrich bundles on double covers of projective spaces

被引：0

作者：

Kumar, N. Mohan ^{[1
]}

Narayanan, Poornapushkala ^{[2
,4
]}

Parameswaran, A. J. ^{[3
,5
]}

机构：

[1] Washington Univ St Louis, Dept Math, St Louis, MO 63130 USA

[2] Int Ctr Theoret Sci TIFR, Bengaluru 560089, India

[3] Tata Inst Fundamental Res, Sch Math, Mumbai 400005, India

[4] Madras Sch Econ, Chennai 600025, India

[5] Kerala Sch Math, Kozhikode 673571, Kerala, India

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2025年 / 229卷 / 06期

关键词：

Ulrich bundles; Quadrics; Double covers; Coverings of curves; MODULES;

D O I：

10.1016/j.jpaa.2025.107946

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove that any smooth projective variety X which is a double cover of the projective space Pn(n >= 2) admits an Ulrich bundle. When n = 2, we show that on any such X, there is an Ulrich bundle of rank two. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：25

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