Year: 2023
Type: preprint
Abstract: In this paper, we consider the morphisms from projective spaces to flag varieties. We show that the morphisms can only be constant under some special conditions. As a consequence, we prove that the splitting types of unsplit uniform $r$-bundles on $\mathbb{P}^m$ can not be $(a_1,\dots,a_1,a_2,\dots,a_{r-k+1})$ for $1\le k\le m-2$.
Source: arXiv (Cornell University)
Authors: Fang, Xinyi, Ren, Peng
Institutions: Shanghai Normal University, Fudan University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1518359588, G7268897525
OpenAlex ID: W4387635267