Equivariant autoequivalences for finite group actions

By David Ploog. 2005

78 citations recorded by the source corpus.

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(Db(X))G with the group of autoequivalences of DG(X). We apply this method in three cases: Hilbert schemes on K3 surfaces, Kummer surfaces and canonical quotients.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/68dde1dc710afa1526c7d44f8d2e03b78e1c3b26

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In Geometry and Topology

1. Nicolas Addington
2. E. Markman
3. D. Huybrechts
4. Giovanni Mongardi
5. Emanuele Macrì
6. Misha Verbitsky
7. Brendan Hassett
8. D. Arapura

In Mathematical Physics

1. Nicolas Addington
2. E. Markman
3. D. Huybrechts
4. Misha Verbitsky
5. Emanuele Macrì
6. Giovanni Mongardi
7. D. Arapura
8. P. Stellari

Citations in the corpus

• New derived symmetries of some hyperkähler varieties (2011, background): “We conclude with an alternate proof that T is an equivalence, following Ploog [34, Thm. 1.27].”
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties (2011, background): “Question 10.8 is affirmative (see the proof of [ Pl ], Proposition 10).”