A basis for the non-archimedean holomorphic theta functions.
A descent map for curves with totally degenerate semi-stable reduction
Let be a local field of residue characteristic . Let be a curve over whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to- rational torsion subgroup on the Jacobian of . We also determine divisibility of line bundles on , including rationality of theta characteristics and higher spin structures. These computations utilize arithmetic on the special fiber of .
A generalization of formal schemes and rigid analytic varieties.
A new construction of -adic -functions attached to certain elliptic curves with complex multiplication
In this paper we apply the results of our previous article on the -adic interpolation of logarithmic derivatives of formal groups to the construction of -adic -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.
A Note on the First Rigid Cohomology Group for Geometrically Unibranch Varieties
À propos de G. A. G. R.
A Rigid Analytic Version of M. Artin's Theorem on Analytic Equations.
A weak Néron model with applications to -adic dynamical systems
Action du groupe de Galois sur les périodes de certaines courbes de Mumford
Nous étudions l’action du groupe de Galois sur les périodes des courbes de Mumford qui sont des revêtements cycliques de . Lorsque le degré de ce revêtement est premier à la caractéristique résiduelle du corps de base, nous décomposons le réseau des périodes en une somme directe de modules monogènes, le nombre de ces modules monogènes étant déduit de la géométrie de la courbe (théorème 4). Ceci nous permet de donner une condition nécessaire et suffisante pour que le module des périodes soit libre...
Admissible pairing on a curve.
Algebraic families of p-adic tori.
Algebraic groups associated with abelian varieties.
An analogue of the Weierstrass ζ-function in characteristic p
An analytic construction of degenerating curves over complete local rings
An estimate of approximation constants for p-adic and real varities.
An Example of Unirational Surfaces in Characteristic p.
Analytic cell decomposition and analytic motivic integration
Analytic functions on an open subsets of P1 (k).
Analytic Lifting of Algebraic Tori.
Arithmetic differential equations in several variables
We survey recent work on arithmetic analogues of ordinary and partial differential equations.