Diophantine approximation on projective varieties
发布时间:2018年04月15日
浏览次数:6665
发布者: Kangkang Deng
主讲人: Dr. François Ballay
活动时间: 从 2018-04-18 10:00 到 11:30
场地: Room 29, Quan Zhai, BICMR
The fundamental problem in Diophantine approximation is to know how closely an irrational number can be approximated by a rational number. I will describe how this question can be generalized to the case of closed points on a projective variety defined over a number field. In particular, I will present an effective Liouville type Theorem, which gives an explicit upper bound for the height of rational points that are close to a given algebraic point of the variety.