2023/12/08 by Yanjie Li, Fang, Xinyi, Li, Duo +1
Mathematics · Medicine · #14J60 #14M15 #14M17 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Phytoestrogen effects and research #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.2312.04852
openalex publication_date 2023/12/08 · openalex created_date 2023/12/12 · openalex updated_date 2026/07/28
Let E be a uniform bundle on an arbitrary generalised Grassmannian X defined over ℂ. We show that if the rank of E is at most e.d.(VMRT), then E necessarily splits. For some generalised Grassmannians, we prove that the upper bounds e.d.(VMRT) are optimal and classify all unsplit uniform bundles of minimal ranks. Under some special assumptions, we show that morphisms to some generalised flag varieties must be constant, which partially answered a conjecture of Kumar.