Uniform (d+1)-bundle over the Grassmannian G(d,n) in positive characteristics

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-07-24 DOI:10.1002/mana.70022

Rong Du, Yuhang Zhou

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引用次数: 0

Abstract

This paper is dedicated to the classification of uniform vector bundles of rank $d + 1$ over the Grassmannian $G (d, n)$ ( $2 \leq d \leq n - d$ ) over an algebraically closed field in positive characteristics. Specifically, we show that all uniform vector bundles with rank $d + 1$ over $G (d, n)$ are homogeneous.

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均匀(d+1)-束在正特征的格拉斯曼G（d,n）上

本文研究格拉斯曼G (d)上阶为d+1$ d+1$的一致向量束的分类。n)$ G(d,n)$（2≤d≤n-d$ 2\le d\le n-d$）在正特征的代数闭域上。具体地说，我们证明了所有秩为d+1$ d+1$ / G(d,n)$ G(d,n)$的一致向量束是齐次的。

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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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index