English

Rational points on analytic varieties

Number Theory 2015-01-06 v2

Abstract

These are expanded notes of the mini-courses on Pila's work that Yuri Bilu gave in Basel in April 2011, Yaroslavl in August 2011 and Chennai in February 2012. The topics covered include the Bombieri-Pila theorem, its extensions and applications to some prominent conjectures (Manin-Mumford, Andr\'e-Oort).

Cite

@article{arxiv.1408.1441,
  title  = {Rational points on analytic varieties},
  author = {Alexey Beshenov and Margaret Bilu and Yuri Bilu and Purusottam Rath},
  journal= {arXiv preprint arXiv:1408.1441},
  year   = {2015}
}

Comments

Lecture notes; accepted for publication at the "EMS Surveys in Mathematical Sciences"

R2 v1 2026-06-22T05:22:10.389Z