Lang's conjecture and level structures on abelian varieties

PIMS CRG in Explicit Methods for Abelian Varieties

授课人:Anthony Varilly-Alvarado

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Lang's conjecture and level structures;   

加拿大|英语

【 摘 要 】

Before Mazur proved his theorem on the possible torsion groups on elliptic curves over Q, Manin had shown in 1969 that for a fixed number field K and prime p, the p-primary torsion of elliptic curves over K was uniformly bounded. We will explain a result in this direction for more general abelian varieties, subject to Lang's conjecture on rational points on varieties of general type. This is joint work with Dan Abramovich.

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