A note on automorphisms and birational transformations of holomorphic symplectic manifolds
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- by Samuel Boissière and Alessandra Sarti
- Proc. Amer. Math. Soc. 140 (2012), 4053-4062
- DOI: https://doi.org/10.1090/S0002-9939-2012-11277-8
- Published electronically: April 3, 2012
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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.References
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Bibliographic Information
- Samuel Boissière
- Affiliation: Laboratoire J.A. Dieudonné UMR CNRS 6621, Université de Nice Sophia-Antipolis, Parc Valrose, F-06108 Nice, France
- Address at time of publication: Laboratoire de Mathématiques et Applications, UMR CNRS 6086, Université de Poitiers, Téléport 2, Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France
- ORCID: 0000-0002-5901-6838
- Email: Samuel.Boissiere@unice.fr, samuel.boissiere@math.univ-poitiers.fr
- Alessandra Sarti
- Affiliation: Laboratoire de Mathématiques et Applications, UMR CNRS 6086, Université de Poitiers, Téléport 2, Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France
- MR Author ID: 651260
- Email: sarti@math.univ-poitiers.fr
- Received by editor(s): September 14, 2010
- Received by editor(s) in revised form: March 22, 2011, and May 18, 2011
- Published electronically: April 3, 2012
- Communicated by: Lev Borisov
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 4053-4062
- MSC (2010): Primary 14C05
- DOI: https://doi.org/10.1090/S0002-9939-2012-11277-8
- MathSciNet review: 2957195