Hilbert's irreducibility theorem for abelian varieties
报告人:Ariyan Javanpeykar (Johannes Gutenberg-Universität Mainz)
时间:2020-11-25 14:30-15:30
地点:online
Abstract: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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