13 apr 2016 -- 14:30
SNS Pisa
Abstract.
According to conjectures of Vojta, ABC-type inequalities should hold on varieties of log-general type. In the case of moduli spaces, Faltings has given such estimates for the moduli spaces of principally polarized abelian varieties with level structures. I will explain how one can obtain ABC inequalities in the case of moduli spaces of abelian varieties with real multiplication. (Joint work with F. Touzet).