Rational points on analytic varieties
arXiv:1408.1441
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, André-Oort).
arXiv commentLecture notes; accepted for publication at the "EMS Surveys in Mathematical Sciences"