Equivariant Moduli Theory on $ K3 $ Surfaces
Algebraic Geometry
2023-07-14 v1
Abstract
In this paper we study equivariant moduli spaces of sheaves on a surface under a symplectic action of a finite group. We prove that under some mild conditions, equivariant moduli spaces of sheaves on are irreducible symplectic manifolds deformation equivalent to Hilbert schemes of points on via a connection between Gieseker and Bridgeland moduli spaces, as well as the derived McKay correspondence.
Cite
@article{arxiv.2307.06719,
title = {Equivariant Moduli Theory on $ K3 $ Surfaces},
author = {Yuhang Chen},
journal= {arXiv preprint arXiv:2307.06719},
year = {2023}
}
Comments
This paper is part of the author's PhD thesis [arXiv:2204.09824]