Projective images of Kummer surfaces.
Rang de courbes elliptiques liees a certaines extensions cycliques de degre 4 et 6
Rational points on K3 surfaces: A new canonical height.
Rational points on K3 surfaces in ...x...x... .
Réseaux de Kummer et surfaces K3.
Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems
Rolling factors deformations and extensions of canonical curves.
Semipolarized nonruled surfaces with sectional genus two.
Smooth quartic surfaces with 352 conics.
Special divisors on curves on a K3 surface.
Special Kähler metrics on complex line bundles and the geometry of -surfaces.
Special rank two vector bundles over Enriques surfaces.
String theory and duality.
Supersingular K 3 surfaces with big Artin invariant.
Surfaces d'Enriques et une construction de surfaces de type général avec pg = 0.
Symplectic involutions on deformations of K3[2]
Let X be a hyperkähler manifold deformation equivalent to the Hilbert square of a K3 surface and let φ be an involution preserving the symplectic form. We prove that the fixed locus of φ consists of 28 isolated points and one K3 surface, and moreover that the anti-invariant lattice of the induced involution on H 2(X, ℤ) is isomorphic to E 8(−2). Finally we show that any couple consisting of one such manifold and a symplectic involution on it can be deformed into a couple consisting of the Hilbert...
The arithmetic of certain del Pezzo surfaces and K3 surfaces
We construct del Pezzo surfaces of degree violating the Hasse principle explained by the Brauer-Manin obstruction. Using these del Pezzo surfaces, we show that there are algebraic families of surfaces violating the Hasse principle explained by the Brauer-Manin obstruction. Various examples are given.
The cone of curves of a K3 surface.
The geometry of the third moment of exponential sums
We give a geometric interpretation (and we deduce an explicit formula) for two types of exponential sums, one of which is the third moment of Kloosterman sums over of type . We establish a connection between the sums considered and the number of -rational points on explicit smooth projective surfaces, one of which is a surface, whereas the other is a smooth cubic surface. As a consequence, we obtain, applying Grothendieck-Lefschetz theory, a generalized formula for the third moment of Kloosterman...
The Hasse zeta function of a K3 surface related to the number of words of weight 5 in the Melas codes.