Positivity of Ulrich bundles in the ample and free case
Abstract
In this paper, we study the positivity of an Ulrich vector bundle defined with respect to a globally generated ample line bundle. First, we prove a generalization of a Lopez theorem on the first Chern class and the bigness of an Ulrich bundle. Then, under some additional assumptions on the polarization, we give a description of its augmented base locus, which consequently leads to a characterization of the V-bigness and of the ampleness of an Ulrich bundle in this setting.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Commutative Algebra and Its Applications
Publication details
- Journal / source
- International Journal of Mathematics
- Volume
- 37
- Issue
- 03
- Publication date
- 30 January 2026
- Language
- EN