On derived categories of K3 surfaces, symplectic automorphisms and the\n Conway group

2013/09/25 by Daniel Huybrechts, Huybrechts, Daniel · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1309.6528

openalex publication_date 2013/09/25 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

In this note we interpret a recent result of Gaberdiel, Hohenegger and\nVolpato in terms of derived equivalences of K3 surfaces. We prove that there is\na natural bijection between subgroups of the Conway group Co₁ with invariant\nlattice of rank at least four and groups of symplectic derived equivalences of\nD(Coh(X)) of projective K3 surfaces fixing a stability condition.\n

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