Complexe de de Rham filtré d'une variété singulière

Approche complexe de l'analyse de documents anciens

Résumé. Cet article présente une méthode complexe pour la caractérisation et l’indexation d’images graphiques de documents anciens. A partir d’un bref état de l’art, une méthode pour décrire ces images en tenant compte de leur complexité est proposée. Trois étapes principales de ce traitement sont détaillées dont une méthode novatrice d’analyse, de segmentation et de description des traits. Les...

Algebraic de Rham cohomology

Before we continue, we need to point out some properties of algebraic de Rham cohomology. In other words, we will first prove some of the axioms before introducing the trace map and cohomology classes. Note that the axioms of a Weil cohomology theory do not provide for the existence of cohomology groups defined for nonprojective varieties, but that we may use the fact that they are defined for ...

Frontière du fractal de Rauzy et système de numération complexe

Lecture 15. de Rham cohomology

(Here we really mean the integral over Σ of the form obtained by pulling back ω under the inclusion map). Now suppose we have two such submanifolds, Σ0 and Σ1, which are (smoothly) homotopic. That is, we have a smooth map F : Σ × [0, 1] → M with F |Σ×{i} an immersion describing Σi for i = 0, 1. Then d(F∗ω) is a (k + 1)-form on the (k + 1)-dimensional oriented manifold with boundary Σ × [0, 1], ...

Chiral de Rham complex. II

To Dmitry Borisovich Fuchs, on his 60-th birthday This paper is a sequel to [MSV]. It consists of three parts. The first part is an expanded version of the last section of [MSV] 1. We give here certain construction of vertex algebras which includes in particular the ones appearing in loc. cit.