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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von Chiara Camere

Involutions of holomorphic symplectic manifolds

In 1980 Nikulin has started the study of automorphisms of finite order on K3 surfaces and their fixed points. A natural question that arises is to study the same problem in the case of irreducible holomorphic symplectic manifolds, which appear to be the generalization to higher dimension of K3 surfaces. In this talk we will focus on the particular case of involutions of irreducible holomorphic symplectic fourfolds such that b2=23.