Equivariant autoequivalences for finite group actions

• Autores: David Ploog
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 216, Nº 1, 2007, págs. 62-74
• Idioma: inglés
• DOI: 10.1016/j.aim.2007.05.002
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• Resumen

  • 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.