A note on automorphisms and birational transformations of holomorphic symplectic manifolds
By Samuel Boissière, A. Sarti. 2009
58 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/72531dbd8b5c23b07a4a7d594bc321397cdb0d2e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Classification of automorphisms on a deformation family of hyper-Kähler four-folds by $p$-elementary lattices (2014, unknown): “If α ∈ H(Σ) then ι(α) ∈ H(Σ([2])) and by the definition of ι one has φ([2])(ι(α)) = ι(φ(α)) (see [10]).”
- Symplectic involutions on deformations of K3[2] (2011, methodology): “Some general work on automorphisms and birational maps was done by Oguiso [21], Boissière [4], and Boissière and Sarti [6]; order 2 automorphisms were analyzed by Beauville [3] and Camere [7].”