Anti-symplectic involutions on moduli spaces of sheaves on K3 surfaces via auto-equivalences
Abstract
We provide new examples of anti-symplectic birational involutions on moduli spaces of stable sheaves on K3 surfaces. These involutions are constructed through (anti) auto-equivalences of the bounded derived category of coherent sheaves on K3 surfaces arising from spherical bundles. We analyze these induced maps in the moduli space, imposing restrictions on the Mukai vector and considering the preservation of stability conditions. Our construction extends and unifies classical examples, such as the Beauville involutions, Markman-O'Grady reflections and a more recent construction by Beri-Manivel.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Mathematical Research Letters
- Publisher
- International Press of Boston
- Volume
- 33
- Issue
- 1
- Pages
- 261–295
- Publication date
- 1 January 2026
- Language
- EN