On uniform and nonhomogeneous vector bundles over smooth quadric hypersurfaces
Abstract
This paper considers vector bundles on smooth quadric hypersurfaces defined over an algebraically closed field in characteristic zero. Let p be an integer with p≥2. We show that there exists a uniform but nonhomogeneous vector bundle E of rank 3N+2 on a smooth quadric hypersurface QN(N≥6). We also construct indecomposable uniform but nonhomogeneous vector bundles of rank 3N+p−9 over QN(N≥4), which gives an up bound 3N−8 for the uniform-homogeneous threshold of QN(N≥4).
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Publication details
- Journal / source
- Communications in Algebra
- Volume
- 54
- Issue
- 12
- Pages
- 3711–3719
- Publication date
- 18 January 2026
- Language
- EN