Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems
Abstract
Abstract In this paper, we redefine the theory of walls and chambers due to Qin developing a new tool to study moduli spaces of stable rank 2 vector bundles on algebraic varieties of higher dimension. We apply it to describe components of some moduli spaces of rank 2 stable bundles on ruled 3-folds as well as to prove that some Brill-Noether loci are non-empty.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Geometry and complex manifolds
Publication details
- Journal / source
- Ricerche di Matematica
- Volume
- 75
- Issue
- 4
- Pages
- 2179–2202
- Publication date
- 26 May 2026
- Language
- EN