Nov 26, 2020
Hilbert’s irreducibility theorem for abelian varieties
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date: November 26, 2020 |
2:00 pm –
Speaker: Ariyan Javanpeykar, Johannes Gutenberg-Universität Mainz
We will discuss joint work with Corvaja, Demeio, Lombardo, and Zannier in which we extend Hilbert's irreducibility theorem (for rational varieties) to the setting of abelian varieties. Roughly speaking, given an abelian variety A over a number field k and a ramified covering X of A, we show that X has "less" k-rational points than A.