Hilbert's irreducibility theorem for abelian varieties
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date:
Thursday, November 26, 2020 14:00 - 15:00
Speaker:
Ariyan Javanpeykar (Johannes Gutenberg-Universität Mainz)
Location:
https://mathseminars.org/seminar/AGNTISTA
Series:
Mathematics and CS Seminar
Host:
Tim Browning
Contact:
Birgit Oosthuizen-Noczil
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.