p-Adic regulators on curves and special values of p-adic L-functions.
p-adic semi-algebraic sets and cell decomposition.
p-adic zeros of polynomials.
Parity in Bloch’s conductor formula in even dimension
For a variety over a local field, Bloch proposed a conjectural formula for the alternating sum of Artin conductor of -adic cohomology. We prove that the formula is valid modulo 2 if the variety has even dimension.
Périodes p-adiques des variétés abéliennes.
Periods and Gauss-Manin Connection for Families of p-Adic Schottky Groups.
Periods of p-adic Schottky groups.
Points algébriques sur les courbes elliptiques -adiques de Tate
Points and topologies in rigid geometry.
Points de Heegner et derivées de fonctions L p-adiques.
Points d’ordre fini d’un groupe formel sur une extension non ramifiée de
Points of rigid analytic varieties.
Points rationnels de la cubique dans les corps -adiques
Poles of Igusa's local zeta function and monodromy
Poles of -adic complex powers and Newton polyhedra
Prime to fundamental groups and tame Galois actions
We show that for a local, discretely valued field , with residue characteristic , and a variety over , the map to the outer automorphisms of the prime to geometric étale fundamental group of maps the wild inertia onto a finite image. We show that under favourable conditions depends only on the reduction of modulo a power of the maximal ideal of . The proofs make use of the theory of logarithmic schemes.
Principe de Boyarsky et ...-modules.
Prolongement de la valeur absolue de Gauss et problème de Skolem
Prolongement de revêtements galoisiens en géométrie rigide
Proof of the Deligne-Langlands conjecture for Hecke algebras..