Rong Du

collaborators

3 papers

math.AG2025

Uniform vector bundles over $P^{4}$

Rong Du, Yuhang Zhou

There is a long-standing conjecture which states that every uniform algebraic vector bundle of rank $r < 2 n$ on the $n$ -dimensional projective space $P^{n}$ over an algebraica…

math.AG2024

On uniform and nonhomogeneous vector bundles over Grassmannians

Rong Du, Yiting Wang, Dazhi Zhang

We demonstrate the existence of a uniform and nonhomogeneous vector bundle $E$ of rank $(n - d) (m + 1) - 1$ over Grassmannian $G (d, n)$ , where $m > d$ and $1 \leq d \leq n - d - 1$ with a…

math.AG2024

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

Rong Du, Yuhang Zhou

This paper is dedicated to the classification of uniform vector bundles of rank $d + 1$ over the Grassmannian $G (d, n)$ ( $d \leq n - d$ ) over an algebraically closed field in characterist…

Uniform vector bundles over P4

On uniform and nonhomogeneous vector bundles over Grassmannians

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

Uniform vector bundles over $P^{4}$