K3 surfaces are central objects in modern algebraic geometry. This book examines this
important class of Calabi–Yau manifolds from various perspectives in eighteen self …

We study the maps induced on cohomology by a Nikulin (ie a symplectic) involution on a K 3
surface. We parametrize the 11-dimensional irreducible components of the moduli space of …

In this paper we study K3 surfaces with a non-symplectic automorphism of order 3. In
particular, we classify the topological structure of the fixed locus of such automorphisms and …

In this paper, we study finite symplectic actions on K3 surfaces X, that is, actions of finite
groups G on X which act on H2, 0 (X) trivially. We show that the action on the K3 lattice H2 …

Exploiting recent results on the ample cone of irreducible symplectic manifolds, we provide a
different point of view for the computation of their monodromy groups. In particular, we give …

The smooth (resp. metric and complex) Nielsen Realization Problem for K3 surfaces $ M $
asks: when can a finite group $ G $ of mapping classes of $ M $ be realized by a finite group …

In this paper we study automorphisms of order four on K3 surfaces. We give a classification
of the non-symplectic ones when either the square of the automorphism is symplectic, or its …

We study the cohomological properties of the fixed locus XG of an automorphism group G of
prime order p acting on a variety X whose integral cohomology is torsion‐free. We obtain a …

On établit quelques résultats généraux relatifs à la taille du groupe d'automorphismes de
l'espace de Douady de points sur une surface, puis on étudie quelques propriétés des …

Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he
has shown that the induced action on the K3 lattice U 3⊕ E 8 (− 1) 2 depends only on the …