On derived categories of K3 surfaces, symplectic automorphisms and the Conway group
Algebraic Geometry
2014-09-10 v4
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.
Keywords
Cite
@article{arxiv.1309.6528,
title = {On derived categories of K3 surfaces, symplectic automorphisms and the Conway group},
author = {Daniel Huybrechts},
journal= {arXiv preprint arXiv:1309.6528},
year = {2014}
}
Comments
Further minor corrections, new title and new section on groups of symplectic automorphisms of varieties of K3^[n] type. To appear in Advanced Studies in Pure Math (Math. Soc. Japan)