On passe en revue une approche unifiée aux conjectures de Manin-Mumford et d’André-Oort basée sur la combinaison de techniques galoisiennes et ergodiques. Ce texte est basé sur les travaux récents de Klingler, Ullmo et Yafaev sur la conjecture de André-Oort, et de Ratazzi et Ullmo sur la conjecture de Manin-Mumford.
We overview a unified approach to the André-Oort and Manin-Mumford conjectures based on a combination of Galois-theoretic and ergodic techniques. This paper is based on recent work of Klingler, Ullmo and Yafaev on the André-Oort conjecture, and of Ratazzi and Ullmo on the Manin-Mumford conjecture.
@article{JTNB_2009__21_2_491_0,
author = {Yafaev, Andrei},
title = {Galois orbits and equidistribution: {Manin-Mumford} and {Andr\'e-Oort.}},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {491--500},
publisher = {Universit\'e Bordeaux 1},
volume = {21},
number = {2},
year = {2009},
doi = {10.5802/jtnb.684},
zbl = {1209.11055},
mrnumber = {2541439},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jtnb.684/}
}
TY - JOUR AU - Yafaev, Andrei TI - Galois orbits and equidistribution: Manin-Mumford and André-Oort. JO - Journal de théorie des nombres de Bordeaux PY - 2009 SP - 491 EP - 500 VL - 21 IS - 2 PB - Université Bordeaux 1 UR - http://www.numdam.org/articles/10.5802/jtnb.684/ DO - 10.5802/jtnb.684 LA - en ID - JTNB_2009__21_2_491_0 ER -
%0 Journal Article %A Yafaev, Andrei %T Galois orbits and equidistribution: Manin-Mumford and André-Oort. %J Journal de théorie des nombres de Bordeaux %D 2009 %P 491-500 %V 21 %N 2 %I Université Bordeaux 1 %U http://www.numdam.org/articles/10.5802/jtnb.684/ %R 10.5802/jtnb.684 %G en %F JTNB_2009__21_2_491_0
Yafaev, Andrei. Galois orbits and equidistribution: Manin-Mumford and André-Oort.. Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 491-500. doi : 10.5802/jtnb.684. http://www.numdam.org/articles/10.5802/jtnb.684/
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