Corrections à: «Transformations de Fourier et majoration de sommes exponentielles»
Corrections to: “The algebraic topology of smooth algebraic varieties”
Corrections to the paper "A remark on the orbit spaces under multiplicative group actions''
Correspondance de Katz et irrégularité des isocristaux surconvergents de rang un.
Correspondances de Hecke, action de Galois et la conjecture d’André–Oort
Soient une variété de Shimura, fermée et irréductible et un ensemble Zariski dense de points spéciaux. Selon la conjecture d’André–Oort, est une sous-variété de type Hodge. Par exemple, si est un espace de modules de variétés abéliennes, est un ensemble de points correspondant à des variétés de type CM et doit paramétrer des variétés abéliennes munies de certaines classes de Hodge. En utilisant les actions de l’algèbre de Hecke et du groupe de Galois, Edixhoven et Yafaev montrent certains...
Correspondence homomorphisms for singular varieties
We study certain kinds of geometric correspondences between (possibly singular) algebraic varieties and we obtain comparison results regarding natural filtrations on the homology of varieties.
Correspondencias divisoriales entre esquemas relativos.
En este trabajo se estudian las correspondencias divisoriales entre dos esquemas relativos. Una correspondencia divisorial es una correspondencia algebraica entre los puntos de un esquema X y las clases de equivalencia lineal de divisores de otro esquema Y. Se consideran correspondencias triviales las que asignan a cada punto toda la variedad y las inversas de éstas. Por tanto las correspondencias divisoriales módulo las triviales son los divisores del producto módulo, módulo los divisores que provienen...
Corrigenda: ‘On systems of linear inequalities’
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
Corrigendum to: Improved upper bounds for the number of points on curves over finite fields
Corrigendum to Integral points on Abelian varieties.
Corrigendum to : « Tame stacks in positive characteristic »
Cotangent Functors of Curve Singularities.
Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism
Counting Lamé differential operators
Counting lines on surfaces
This paper deals with surfaces with many lines. It is well-known that a cubic contains of them and that the maximal number for a quartic is . In higher degree the question remains open. Here we study classical and new constructions of surfaces with high number of lines. We obtain a symmetric octic with lines, and give examples of surfaces of degree containing a sequence of skew lines.
Counting points in medium characteristic using Kedlaya's algorithm.
Counting points of slope varieties over finite fields.
Counting points of small height on elliptic curves
Counting points on curves over finite fields
Counting points on elliptic curves over finite fields
We describe three algorithms to count the number of points on an elliptic curve over a finite field. The first one is very practical when the finite field is not too large ; it is based on Shanks's baby-step-giant-step strategy. The second algorithm is very efficient when the endomorphism ring of the curve is known. It exploits the natural lattice structure of this ring. The third algorithm is based on calculations with the torsion points of the elliptic curve [18]. This deterministic polynomial...