On the Shafarevich and Tate conjectures for hyperkähler varieties.
On the Torelli problem for kählerian surfaces
On Varieties Whose Degree is Small with Respect to Codimension.
One attempt to the modular function - II
Open surfaces with non-positive Euler characteristic
Points non factoriels des variétés de modules de faisceaux semi-stables sur une surface rationnelle.
Polarized surfaces of positive Kodaira dimension with canonical bundle of small degree.
Poncelet 5-gons and abelian surfaces.
Projective Degenerations of Enriques' Surfaces.
Projective Manifolds with the Same Homology as ...
Projective quartics revisited
We classify all smooth projective varieties of degree 4 and describe their syzygies.
Projective surfaces with bi-elliptic hyperplane sections.
Projective surfaces with k-very ample line bundles of genus ... 3k + 1.
Projective threefolds containing a smooth rational surface with ample normal bundle.
Quartic del Pezzo surfaces over function fields of curves
We classify quartic del Pezzo surface fibrations over the projective line via numerical invariants, giving explicit examples for small values of the invariants. For generic such fibrations, we describe explicitly the geometry of spaces of sections to the fibration, and mappings to the intermediate Jacobian of the total space. We exhibit examples where these are birational, which has applications to arithmetic questions, especially over finite fields.
Quasi-elliptic surfaces in characteristic three
Quasi-Gorenstein Fano 3-folds with isolated non-rational loci
Quasi-lines and their degenerations
In this paper we study the structure of manifolds that contain a quasi-line and give some evidence towards the fact that the irreducible components of degenerations of the quasi-line should determine the Mori cone. We show that the minimality with respect to a quasi-line yields strong restrictions on fibre space structures of the manifold.
Quasi-projective quotients by compact equivalence relations.
-équivalence sur les familles de variétés rationnelles et méthode de la descente
La méthode de la descente a été introduite et développée par Colliot-Thélène et Sansuc. Elle permet d’étudier l’arithmétique de certaines variétés rationnelles. Dans ce texte on montre comment il en résulte que pour certaines familles de variétés rationnelles sur un corps local de caractéristique nulle le nombre des classes de -équivalence de la fibre est localement constant quand varie dans .