Stable reduction of Fermat curves and Jacobi sum Hecke characters.
p-Adic regulators on curves and special values of p-adic L-functions.
The universal vectorial Bi-extension and p-adic heights.
Torsion points on fermat curves
Reciprocity laws on curves
On an Archimedian characterization of the circular units.
Division Values in Local Fields.
Hodge-Tate periods and p-adic abelian integrals.
Dilogarithms, Regulators and p-adic L-functions.
Classical and overconvergent modular forms of higher level
We define the notion overconvergent modular forms on where is a prime, and are positive integers and is prime to . We show that an overconvergent eigenform on of weight whose -eigenvalue has valuation strictly less than is classical.
Classical and overconvergent modular forms
The dilogarithm and the norm residue symbol
Vectorial extensions of Jacobians
The universal vectorial extension of a curve is described in terms of the geometry of the curve.
Duality for the de Rham cohomology of an abelian scheme
In this paper the equality is established of three different pairings between the first de Rham cohomology group of an abelian scheme over a base flat over and that of its dual. These pairings have appeared and been used either explicitly or implicitly in the literature. In the last section we deduce a generalization to arbitrary characteristic of Serre’s formula for the Poincaré pairing on the first de Rham cohomology group of a curve over a field of characteristic zero.
Stable maps of curves.
Companion forms and Kodaira-Spencer theory.
Fake CM and the stable model of .
Page 1