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

Rong Du and Yuhang Zhou

Mathematische Nachrichten, 2025, vol. 298, issue 8, 2867-2887

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

Date: 2025
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