Erratum : “The rank of étale cohomology of varieties over -adic or number fields”
Erratum to : Morphisms, line bundles and moduli spaces in real algebraic geometry
Étale cohomology and reduction of abelian varieties
In this paper we study the étale cohomology groups associated to abelian varieties. We obtain necessary and sufficient conditions for an abelian variety to have semistable reduction (or purely additive reduction which becomes semistable over a quadratic extension) in terms of the action of the absolute inertia group on the étale cohomology groups with finite coefficients.
Étale cohomology for non-Archimedean analytic spaces
Etale cohomology of henselian rings and cohomology of abstract Riemann surfaces of fields.
Étale cohomology of rigid analytic spaces.
Étale fundamental groups of non-archimedean analytic spaces
Étale -theory. II. Connections with algebraic -theory
Etale K-theory I: Connections with Etale Cohomology and Algebraic Vector Bundles.
Etale -covers in characteristic
Euler characteristics of moduli spaces of curves
Let be the moduli space of -pointed Riemann surfaces of genus . Denote by the Deligne-Mumford compactification of . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of for any and such that .
Éventails et variétés toriques
Examples of abelian surfaces in P4.
Examples of liftings of surfaces and a problem in de Rham cohomology
Examples of non-ample normal bundles
Exceptional collections on isotropic Grassmannians
We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.
Exemples de courbes de P3 à fibré normal semi-stable, stable.
Exercises dyadiques.
Existence de faisceaux réflexifs de rang deux sur à bonne cohomologie
Existence de filtrations admissibles sur des isocristaux
Soit un isocristal devecteur de Newton. On associe à une filtration de sonvecteur de Hodge. Si estadmissible (i.e. est faiblement admissible en tant qu’isocristal filtré), alors . Réciproquement, on démontre qu’étant donné avec , il existe une filtration admissible de avec . On en déduit, à l’aide d’un théorème de Laffaille, l’existence d’un réseau dans de type . On donne aussi une variante pour un groupe quasi-déployé quelconque.