Geodesic
Rational points on analytic varieties
Alexey Beshenov1 orcid ; Margaret Bilu2 ; Yuri F. Bilu1 ; Purusottam Rath3
1Université de Bordeaux, Talence, France
2Université Paris-Sud 11, Orsay, France
3Chennai Mathematical Institute, Siruseri, Tamil Nadu, India
EMS surveys in mathematical sciences, Tome 2 (2015) no. 1, pp. 109-130

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DOI

This is a brief, informal and very elementary introduction into the work of Pila and others about counting rational points on analytic and, more generally, definable sets. We also discuss some of the most spectacular applications.
DOI : 10.4171/emss/10
Classification : 11-XX, 03-XX
Mots-clés : counting rational points; Manin-Mumford conjecture; André-Oort conjecture; definable sets; o-minimality

Alexey Beshenov  1   ; Margaret Bilu  2   ; Yuri F. Bilu  1   ; Purusottam Rath  3

1 Université de Bordeaux, Talence, France
2 Université Paris-Sud 11, Orsay, France
3 Chennai Mathematical Institute, Siruseri, Tamil Nadu, India 
Alexey Beshenov; Margaret Bilu; Yuri F. Bilu; Purusottam Rath. Rational points on analytic varieties. EMS surveys in mathematical sciences, Tome 2 (2015) no. 1, pp. 109-130. doi: 10.4171/emss/10
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