On the Transitvity of regular differential Forms.
Opérateurs différentiels sur les espaces analytiques.
Opération de Cartier et vecteurs de Witt
Orbifold-Uniformizing Differential Equations.
Pentes algébriques et pentes analytiques d’un -module
Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surface.
Pre-Tango structures and uniruled varieties
The pre-Tango structure is an ample invertible sheaf of locally exact differentials on a variety of positive characteristic. It is well known that pre-Tango structures on curves often induce pathological uniruled surfaces. We show that almost all pre-Tango structures on varieties induce higher-dimensional pathological uniruled varieties, and that each of these uniruled varieties also has a pre-Tango structure. For this purpose, we first consider the p-closed rational vector field induced...
Propriétés de descente des variétés à fibré cotangent ample
On généralise ici un théorème de Grauert-Manin pour les courbes (problème de Mordell pour les corps de fonctions). Soit un corps de fonctions algébriques sur un corps algébriquement clos de caractéristique 0, une variété propre et lisse sur , dont le fibré cotangent est ample; si l’ensemble de ses points rationnels est Zariski-dense, la variété se redescend sur .
Proximité évanescente. I. La structure polaire d’un -module
Proximité évanescente. II. Équations fonctionnelles pour plusieurs fonctions analytiques
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...
Quelques applications de la cohomologie d'intersection
Quotient spaces and critical points of invariant functions for C*-actions.
Rationalité des Singularités Canoniques.
Regular differential forms and duality for projective morphisms.
Relative duality for quasi-coherent sheaves
Relative K2 for Powers of an Ideal.
Residual representation of algebraic-geometric codes.
Residues and duality for algebraic schemes
Residues of regular and meromorphic differential forms.