Relations monomiales entre périodes p-adiques.
Remarks on strongly modular Jacobian surfaces
In [3] we introduced the concept of strongly modular abelian variety. This note contains some remarks and examples of this kind of varieties, especially for the case of Jacobian surfaces, that complement the results of [3].
Remarque sur la réduction des intégrales abéliennes aux intégrales elliptiques
Remarques sur les varietés abéliennes avec un automorphisme d'ordre premier.
Rigid analytic spaces
Root Systems and Elliptic Curves
Schottky uniformization theory on Riemann surfaces and Mumford curves of infinite genus.
Schottky-Jung Relations and Vectorbundles on Hyperelliptic Curves.
Second order theta divisors on Pryms
Sections des fibrés vectoriels sur une courbe
Selmer group estimates arising from the existence of canonical subgroups
Semi-abelian Schemes and Heights of Cycles in Moduli Spaces of abelian Varieties
Semistable reduction and torsion subgroups of abelian varieties
The main result of this paper implies that if an abelian variety over a field has a maximal isotropic subgroup of -torsion points all of which are defined over , and , then the abelian variety has semistable reduction away from . This result can be viewed as an extension of Raynaud’s theorem that if an abelian variety and all its -torsion points are defined over a field and , then the abelian variety has semistable reduction away from . We also give information about the Néron models...
Sequences of rational torsions on abelian varieties.
Serre–Tate theory for moduli spaces of PEL type
Shimura Varieties and Twisted Orbital Integrals.
Siegel Cusp Forms as Holomorphic Differential Forms on Certain Compact Varieties.
Siegel modular forms vanishing on the moduli space.
Sign functions of imaginary quadratic fields and applications
We propose a definition of sign of imaginary quadratic fields. We give an example of such functions, and use it to define new invariants that are roots of the classical Ramachandra invariants. Also we introduce signed ordinary distributions and compute their signed cohomology by using Anderson's theory of double complex.
Simple exponential estimate for the number of real zeros of complete abelian integrals
We show that for a generic polynomial and an arbitrary differential 1-form with polynomial coefficients of degree , the number of ovals of the foliation , which yield the zero value of the complete Abelian integral , grows at most as as , where depends only on . The main result of the paper is derived from the following more general theorem on bounds for isolated zeros occurring in polynomial envelopes of linear differential equations. Let , , be a fundamental system of real solutions...