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

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Article number	2450082
Journal	International Journal of Mathematics
Volume	36
Issue number	4
DOIs	https://doi.org/10.1142/S0129167X24500824
State	Published - 1 Mar 2025

Keywords

Grassmannian
uniform vector bundle

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10.1142/S0129167X24500824

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

abstract = "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.",

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AU - Zhou, Yuhang

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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

JF - International Journal of Mathematics

IS - 4

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ER -

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

Abstract

Keywords

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