A note on automorphisms and birational transformations of holomorphic symplectic manifolds
Algebraic Geometry
2011-05-30 v2
Abstract
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.
Cite
@article{arxiv.0905.4370,
title = {A note on automorphisms and birational transformations of holomorphic symplectic manifolds},
author = {Samuel Boissiere and Alessandra Sarti},
journal= {arXiv preprint arXiv:0905.4370},
year = {2011}
}
Comments
New version in english. New title and a new result (see updated abstract). To appear in Proc. AMS