Morphisms from ℙ^m to flag varieties

2023/10/12 by Xinyi Fang, Peng Ren, Fang, Xinyi +1
Mathematics · #14A10 #14J60 #14M15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2310.08151

openalex publication_date 2023/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℙ^m can not be (a₁,…,a₁,a₂,…,a_r-k+1) for 1≤ k≤ m-2.

Related

• Morphisms from projective spaces to G/P
• On Certain Morphisms between Flag Varieties
• Recognizing flag varieties and reductive groups
• Spaces of quasi-maps into the flag varieties and their applications
• Moduli Spaces of Hyperplanar Admissible Flags in Projective Space