Central derived autoequivalences of K3 surfaces

2024/09/25 by Anna Savelyeva, Savelyeva, Anna
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2409.16877

openalex publication_date 2024/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply the theory of Bridgeland's stability conditions to describe the center of the group Aut(D^b(X)) of bounded derived autoequivalences of a complex projective K3 surface.

Related

• Autoequivalences and stability conditions on a degenerate K3 surface
• Nielsen realization problem for derived automorphisms of generic K3 surfaces
• Automorphism groups in a family of K3 surfaces
• On derived categories of K3 surfaces, symplectic automorphisms and the\n Conway group
• Derived Autoequivalences of Bielliptic Surfaces