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

Rong Du; Yuhang Zhou

doi:10.1142/S0129167X24500824

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

Rong Du^*
, Yuhang Zhou

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

This paper is dedicated to the classification of uniform vector bundles of rank d + 1 over the Grassmannian G(d,n) (d ≤ n - d) over an algebraically closed field in characteristic 0. Specifically, we show that all uniform vector bundles with rank d + 1 over G(d,n) are homogeneous.

源语言	英语
文章编号	2450082
期刊	International Journal of Mathematics
卷	36
期	4
DOI	https://doi.org/10.1142/S0129167X24500824
出版状态	已出版 - 1 3月 2025

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10.1142/S0129167X24500824

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N2 - This paper is dedicated to the classification of uniform vector bundles of rank d + 1 over the Grassmannian G(d,n) (d ≤ n - d) over an algebraically closed field in characteristic 0. Specifically, we show that all uniform vector bundles with rank d + 1 over G(d,n) are homogeneous.

AB - This paper is dedicated to the classification of uniform vector bundles of rank d + 1 over the Grassmannian G(d,n) (d ≤ n - d) over an algebraically closed field in characteristic 0. Specifically, we show that all uniform vector bundles with rank d + 1 over G(d,n) are homogeneous.

KW - Grassmannian

KW - uniform vector bundle

UR - https://www.scopus.com/pages/publications/85209539629

U2 - 10.1142/S0129167X24500824

DO - 10.1142/S0129167X24500824

M3 - 文章

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VL - 36

JO - International Journal of Mathematics

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

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