Equivariant autoequivalences for finite group actions

David Ploog

Equivariant autoequivalences for finite group actions

Algebraic Geometry 2007-05-23 v1

Authors: David Ploog

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.

Keywords

equivariant cohomology fourier-mukai transform algebraic group actions

Cite

@article{arxiv.math/0508625,
  title  = {Equivariant autoequivalences for finite group actions},
  author = {David Ploog},
  journal= {arXiv preprint arXiv:math/0508625},
  year   = {2007}
}

Comments

12 pages

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