MANIN–MUMFORD, ANDRÉ–OORT, THE EQUIDISTRIBUTION POINT OF VIEW
Identifieur interne : 000982 ( Main/Exploration ); précédent : 000981; suivant : 000983MANIN–MUMFORD, ANDRÉ–OORT, THE EQUIDISTRIBUTION POINT OF VIEW
Auteurs : Emmanuel Ullmo [France]Source :
- NATO Science Series [ 1568-2609 ] ; 2007.
Abstract
Abstract : These notes were prepared for the 2005 Summer School “Equidistribution in number theory” organized by Andrew Granville and Zeev Rudnick in Montréal. It’s a pleasure to thank them for the opportunity of giving these lectures. The aim of this text is to describe the conjectures of Manin–Mumford, Bogomolov and André–Oort from the point of view of equidistribution. This includes a discussion of equidistribution of points with small heights of CM points and of Hecke points.We tried also to explain some questions of equidistribution of positive dimensional “special” subvarieties of a given variety.
Url:
DOI: 10.1007/978-1-4020-5404-4_7
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract : These notes were prepared for the 2005 Summer School “Equidistribution in number theory” organized by Andrew Granville and Zeev Rudnick in Montréal. It’s a pleasure to thank them for the opportunity of giving these lectures. The aim of this text is to describe the conjectures of Manin–Mumford, Bogomolov and André–Oort from the point of view of equidistribution. This includes a discussion of equidistribution of points with small heights of CM points and of Hecke points.We tried also to explain some questions of equidistribution of positive dimensional “special” subvarieties of a given variety.</div>
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