Almost -representation. (Presque -représentations.)
Almost étale extensions of Fontaine rings and log-crystalline cohomology in the semi-stable reduction case
Let be a field of characteristic zero complete for a discrete valuation, with perfect residue field of characteristic , and let be the valuation ring of . We relate the log-crystalline cohomology of the special fibre of certain affine -schemes with good or semi-stable reduction to the Galois cohomology of the fundamental group of the geometric generic fibre with coefficients in a Fontaine ring constructed from . This is based on Faltings’ theory of almost étale extensions.
Almost-Positiv Vector Bundles on Projective Surfaces.
Altérations de variétés algébriques
Altérations et groupe fondamental premier à
Nous démontrons divers résultats sur le plus grand quotient du groupe fondamental étale premier aux caractéristiques, parmi lesquels la formule de Künneth et l’invariance par changement de corps séparablement clos pour les schémas de type fini sur un corps. Ces énoncés sont déduits de faits généraux sur les images directes de champs, une fois spécialisés au cas des torseurs sous un groupe constant fini d’ordre inversible sur la base. Des résultats analogues pour le groupe fondamental modéré sont...
Ample and spanned vector bundles of sectional genera three.
Ample Divisors on Fine Moduli Spaces on the Projective Plane.
Ample line bundles on smooth surfaces.
Ample Vector Bundles, Chern Classes, and Numerical Criteria.
Ample vector bundles on singular varieties.
An additive version of higher Chow groups
An Algebraic Approach to the Residues in Algebraic Geometry.
An analogue of holonomic -modules on smooth varieties in positive characteristics.
An arithmetic characterisation of the symmetric monodromy groups of singularities.
An effective version of Nor's theorem.
An explicit formula for the Hilbert symbol of a formal group
A Brückner-Vostokov formula for the Hilbert symbol of a formal group was established by Abrashkin under the assumption that roots of unity belong to the base field. The main motivation of this work is to remove this hypothesis. It is obtained by combining methods of ()-modules and a cohomological interpretation of Abrashkin’s technique. To do this, we build ()-modules adapted to the false Tate curve extension and generalize some related tools like the Herr complex with explicit formulas for the...
An extension of Aritn-Verdier duality to non-torsion sheaves.
An infinite dimensional Hodge-Tate theory
An injectivity property for étale cohomology
An introduction to some novel applications of Lie algebra cohomology in mathematics and physics.
En esta nota se presenta en primer lugar una introducción autocontenida a la cohomología de álgebras de Lie, y en segundo lugar algunas de sus aplicaciones recientes en matemáticas y física.