Speaker : Professor Ke Chen (Nanjing University)
Title : On the non-existence of certain CM Jacobians
Time : 2018-02-07 (Wed) 15:00 - 16:00
Place : Seminar Room 609, Institute of Mathematics (NTU Campus)
Abstract: Ekedahl and Serre have studied the distribution of genera of curves with totally split Jacobians, and one can formulate similar results on possible types of Jacobians. We show that over number fields of bounded degree, a Jacobian cannot be CM with too many CM factors of low Faltings height, parallel to the function field case proved by Kukulies. This is a joint work with Xin Lv and Kang Zuo from Mainz University.