English

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

Algebraic Geometry 2024-03-19 v1

Abstract

This paper is dedicated to the classification of uniform vector bundles of rank d+1d+1 over the Grassmannian G(d,n)G(d,n) (dndd\le n-d) over an algebraically closed field in characteristic 00. Specifically, we show that all uniform vector bundles with rank d+1d+1 over G(d,n)G(d,n) are homogeneous.

Keywords

Cite

@article{arxiv.2403.11231,
  title  = {Uniform (d+1)-bundle over the Grassmannian G(d,n)},
  author = {Rong Du and Yuhang Zhou},
  journal= {arXiv preprint arXiv:2403.11231},
  year   = {2024}
}
R2 v1 2026-06-28T15:23:18.244Z