Equivariant autoequivalences for finite group actions

Details Equivariant autoequivalences for finite group actions Equivariant autoequivalences for finite group actions

2005-08-30

arxiv.org/abs/math/0508625v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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