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arXiv · 2307.06719

Equivariant Moduli Theory on $ K3 $ Surfaces

Yuhang Chen
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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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Yuhang Chen. 2023-07-13. Equivariant Moduli Theory on $ K3 $ Surfaces. https://arxiv.org/abs/2307.06719

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