Hilbert's irreducibility theorem for abelian varieties

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.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Comments: Zoom ID: 637 7860 6108

Zoom Password: 742636

URL: zoom.com.cn/j/63778606108?pwd=RlpyQWR2MlRDbTZzcmlha09oRVd6QT09

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POINTS - Peking Online International Number Theory Seminar

Series comments: Description: Seminar on number theory and related topics

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University.

The conference number and password are available on the external website. See also the announcements on bicmr.pku.edu.cn

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