A note on automorphisms and birational transformations of holomorphic symplectic manifolds

Details A note on automorphisms and birational transformations of holomorphic symplectic manifolds A note on automorphisms and birational transformations of holomorphic symplectic manifolds

2009-05-27

arxiv.org/abs/0905.4370v2

Mathematics

Algebraic Geometry

New version in english. New title and a new result (see updated abstract). To appear in Proc. AMS

Scientific paper

We give a necessary and sufficient condition for an automorphism of the
Hilbert scheme of points on a K3 surface (non necessarily algebraic) to be
induced by an automorphism of the surface. We prove furthermore that the group
of birational transformations of a projective irreducible holomorphic
symplectic manifold is finitely generated.

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