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Equivariant autoequivalences for finite group actions

David Ploog
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Abstract

The familiar Fourier-Mukai technique can be extended to an equivariant setting where a finite group $G$ acts on a smooth projective variety $X$. In this paper we compare the group of invariant autoequivalences $\Aut(D(X))^G$ with the group of autoequivalences of $D^G(X)$. We apply this method in three cases: Hilbert schemes on K3 surfaces, Kummer surfaces and canonical quotients.

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David Ploog. 2005-08-30. Equivariant autoequivalences for finite group actions. https://arxiv.org/abs/math/0508625

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