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
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact
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.