Some cases of Vojta's generalized abc Conjecture and Lang-Vojta Conjecture over function fields
時 間：2023-11-17 13:30 (星期五) / 地 點：M310
We first formulate a result concerning Vojta’s generalized abc conjecture for algebraic tori over function fields with explicitly determinable exceptional sets. As an application, we investigate the Lang-Vojta Conjecture for varieties of log general type that are ramified covers of algebraic tori over function fields.
Our methods also apply to the complex situation, allowing us to identify explicit exceptional sets for the corresponding case of Vojta’s general abc conjecture (complex version) and the Green-Griffith-Lang conjecture.
This is a joint work with Ji Guo, Khoa D. Nguyen, and Chia-Liang Sun.
Speaker: 王姿月 研究員 (中央研究院數學研究所)
Title : Some cases of Vojta’s generalized abc Conjecture and Lang-Vojta Conjecture over function fields
Time : 13:30 p.m., November 17, 2023
Place : M310, Math. Dept., National Taiwan Normal University
Coordinators : Professor Jing Yu (NTU)
Professor Hua-Chieh Li (NTNU)
Professor Liang-Chung Hsia (NTNU)