A note on automorphisms and birational transformations of holomorphic symplectic manifolds

Boissière, Samuel; Sarti, Alessandra

doi:10.1090/S0002-9939-2012-11277-8

A note on automorphisms and birational transformations of holomorphic symplectic manifolds
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by Samuel Boissière and Alessandra Sarti PDF

Proc. Amer. Math. Soc. 140 (2012), 4053-4062 Request permission

Abstract:

We give a necessary and sufficient condition for an automorphism of the Hilbert scheme of points on a K3 surface (not 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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