A NOTE ON AUTOMORPHISMS AND BIRATIONAL TRANSFORMATIONS OF HOLOMORPHIC SYMPLECTIC MANIFOLDS

作者：Boissiere Samuel^*; Sarti Alessandra

来源：Proceedings of the American Mathematical Society, 2012, 140(12): 4053-4062.

DOI：10.1090/S0002-9939-2012-11277-8

• Hilbert scheme
• automorphisms
• holomorphic symplectic varieties

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.

• 出版日期2012-12