Théories de Galois différentielles et transcendance

Bertrand, Daniel

Annales de l'Institut Fourier, Tome 59 (2009), p. 2773-2803 / Harvested from Numdam

Résumé

On décrit des preuves galoisiennes des versions logarithmique et exponentielle de la conjecture de Schanuel, pour les variétés abéliennes sur un corps de fonctions.

Abstract

We survey recent work on the exponential and logarithmic cases of the functional Schanuel conjecture. Using various differential Galois theories, we present parallel (and sometimes new) proofs in the case of abelian varieties.

Détail

Publié le : 2009-01-01

MR 2649338 | Zbl pre05689406

DOI : https://doi.org/10.5802/aif.2507
Classification:  12H05,  14K05,  03C60,  34M15,  11J95
Mots clés: théorie de Galois différentielle, indépendance algébrique, variétés abéliennes, cohomologie galoisienne, connexion de Gauss-Manin, dérivées logarithmiques

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