Oberseminar SoSe 2012 Zusammenfassung des Vortrags von Malek Joumaah
Automorphisms of certain deformations of the Hilbert scheme of two points on a K3 surface
I will talk about the problem of finding finite order automorphisms of explicit constructions of irreducible holomorphic symplectic manifolds that are deformation equivalent to the Hilbert scheme of two points on a K3 surface. The main focus will be on a construction of Debarre and Voisin related to Grassmannian varieties. We will discuss the question of existence of fixed point free automorphisms and of automorphisms of Hilb2(S) which are not induced by the K3 surface S.