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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-Universit├Ąt Mainz)
Location: https://mathseminars.org/seminar/AGNTISTA
Series: Mathematics and CS Seminar
Host: Tim Browning

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.


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