On the deformation of orthogonal bundles over the projective line.
On the deformation theory of structure constants for associative algebras.
On the Existence of Analytic Contractions.
On the geometry of quadrics and their degenerations.
On the homotopy of the complement to plane algebraic curves.
On the Infinitesimal Torelli Theorem for Certain irregular Surfaces of General Type.
On the Monodromy Group of Plane Curve Singularities.
On the Periods of Enriques Surfaces. II.
On the Severi problem.
On the Smoothing and Deformation of Perfect Varieties.
-adic monodromy of the universal deformation of a HW-cyclic Barsotti-Tate group.
Primitive Holomorphic Maps of Curves.
Projective Degenerations of Enriques' Surfaces.
Quadratic Differentials and Equivariant Deformation Theory of Curves
Given a finite -group acting on a smooth projective curve over an algebraically closed field of characteristic , the dimension of the tangent space of the associated equivariant deformation functor is equal to the dimension of the space of coinvariants of acting on the space of global holomorphic quadratic differentials on . We apply known results about the Galois module structure of Riemann-Roch spaces to compute this dimension when is cyclic or when the action of on is weakly...
Refined intersection products and limiting linear subspaces of hypersurfaces.
Relative ampleness in rigid geometry
We develop a rigid-analytic theory of relative ampleness for line bundles and record some applications to faithfully flat descent for morphisms and proper geometric objects. The basic definition is fibral, but pointwise arguments from the algebraic and complex-analytic cases do not apply, so we use cohomological properties of formal schemes over completions of local rings on rigid spaces. An analytic notion of quasi-coherence is introduced so that we can recover a proper object from sections of...
Représentations potentiellement triangulines de dimension
Les deux résultats principaux de cette note sont d’une part que si est une représentation de de dimension qui est potentiellement trianguline, alors vérifie au moins une des propriétés suivantes (1) est trianguline déployée (2) est une somme de caractères ou une induite (3) est une représentation de de Rham tordue par un caractère, et d’autre part qu’il existe des représentations de de dimension qui ne sont pas potentiellement triangulines.
Résolution de Nash des points doubles rationnels
Nous présentons une méthode qui permet de calculer le transformée de Nash (et sa normalisation) d’une singularité de surface pour laquelle on dispose d’une résolution explicite. Comme exemple nous calculons la résolution des points doubles rationnels obtenue par itération du transformé de Nash normalisé.
Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems
Rolling factors deformations and extensions of canonical curves.