Work

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

Year: 2024

Type: article

Abstract: This paper is dedicated to the classification of uniform vector bundles of rank [Formula: see text] over the Grassmannian [Formula: see text] ([Formula: see text]) over an algebraically closed field in characteristic [Formula: see text]. Specifically, we show that all uniform vector bundles with rank [Formula: see text] over [Formula: see text] are homogeneous.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x24500824

Authors: Rong Du, Yuhang Zhou

Institution: East China Normal University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Science and Technology Commission of Shanghai Municipality, Natural Science Foundation of Chongqing, Centre Scientifique et Technique du Bâtiment, Science and Technology Innovation Plan Of Shanghai Science and Technology Commission

Awards: G1609915050, G4427435602, G449362956, G4981337793, 有理齐性空间上的向量丛