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arXiv · 2403.11231

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

Rong Du·Yuhang Zhou
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Abstract

This paper is dedicated to the classification of uniform vector bundles of rank $d+1$ over the Grassmannian $G(d,n)$ ($d\le n-d$) 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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Rong Du, Yuhang Zhou. 2024-03-17. Uniform (d+1)-bundle over the Grassmannian G(d,n). https://arxiv.org/abs/2403.11231

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