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arXiv · 1309.6528

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

Daniel Huybrechts
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Abstract

In this note we interpret a recent result of Gaberdiel, Hohenegger and Volpato in terms of derived equivalences of K3 surfaces. We prove that there is a natural bijection between subgroups of the Conway group Co_1 with invariant lattice of rank at least four and groups of symplectic derived equivalences of D(Coh(X)) of projective K3 surfaces fixing a stability condition.

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Daniel Huybrechts. 2014-09-09. On derived categories of K3 surfaces, symplectic automorphisms and the Conway group. https://arxiv.org/abs/1309.6528

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