Samuel Boissière

A note on automorphisms and birational transformations of holomorphic symplectic manifolds

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.

AUTOMORPHISMES NATURELS DE L'ESPACE DE DOUADY DE POINTS SUR UNE SURFACE

We prove some general results concerning the size of the group of automorphisms of the Douady space of points on a surface. We then study some properties of the automorphisms coming from an automorphism of the surface, in particular their action on the cohomology and the classification of their fixed points.

Smith theory and irreducible holomorphic symplectic manifolds

We study the cohomological properties of the fixed locus

Classification of automorphisms on a deformation family of hyper-Kähler four-folds by

X^G

p

of an automorphism group

-elementary lattices

G

The cohomological crepant resolution conjecture for P(1,3,4,4)

of prime order

The Automorphism Group of the Hilbert Scheme of Two Points on a Generic Projective K3 Surface

p

GENERATING SERIES IN THE COHOMOLOGY OF HILBERT SCHEMES OF POINTS ON SURFACES

acting on a variety

A model for the orbifold Chow ring of weighted projective spaces

X