Equivariant Moduli Theory on K3 Surfaces

2023/07/13 by Yuhang Chen, Chen, Yuhang
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2307.06719

openalex publication_date 2023/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study equivariant moduli spaces of sheaves on a K3 surface X under a symplectic action of a finite group. We prove that under some mild conditions, equivariant moduli spaces of sheaves on X are irreducible symplectic manifolds deformation equivalent to Hilbert schemes of points on X via a connection between Gieseker and Bridgeland moduli spaces, as well as the derived McKay correspondence.

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