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Soient $M$ une variété de Shimura, $Z \subset M$ fermée et irréductible et $S \subset Z (ℂ)$ un ensemble Zariski dense de points spéciaux. Selon la conjecture d’André–Oort, $Z$ est une sous-variété de type Hodge. Par exemple, si $M$ est un espace de modules de variétés abéliennes, $S$ est un ensemble de points correspondant à des variétés de type CM et $Z$ 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

Eric M. Friedlander, Barry Mazur (1994)

Annales de l'institut Fourier

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.

Daniel Hernández Ruipérez (1981)

Revista Matemática Hispanoamericana

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’

Masami Fujimori (2004)

Bulletin de la Société Mathématique de France

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

Everett W. Howe, Kristin E. Lauter (2007)

Annales de l’institut Fourier

Corrigendum to Integral points on Abelian varieties.

J.H. Silverman (1986)

Inventiones mathematicae

Corrigendum to : « Tame stacks in positive characteristic »

Dan Abramovich, Martin Olsson, Angelo Vistoli (2014)

Annales de l’institut Fourier

Cotangent Functors of Curve Singularities.

Jürgen Herzog, Rolf Waldi (1986)

Manuscripta mathematica

Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism

R. Benedetti, M. Dedò (1984)

Compositio Mathematica

Counting Lamé differential operators

Răzvan Liţcanu (2002)

Rendiconti del Seminario Matematico della Università di Padova

Counting lines on surfaces

Samuel Boissière, Alessandra Sarti (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

This paper deals with surfaces with many lines. It is well-known that a cubic contains $27$ of them and that the maximal number for a quartic is $64$ . 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 $352$ lines, and give examples of surfaces of degree $d$ containing a sequence of $d (d - 2) + 4$ skew lines.

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Corrections à l'article "Annulation du H1 et systèmes paracanoniques sur les surfaces".

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