3 papers
math.NT2025
Positive density of primes of ordinary reduction for abelian varieties of simple signature
Victoria Cantoral Farfán, Wanlin Li, Elena Mantovan +2
By a result of Serre, if is an elliptic curve without CM defined over a number field , then the set of primes of for which has ordinary reduction has density . Ka…
math.AG2019
The Mumford-Tate conjecture implies the algebraic Sato-Tate conjecture of Banaszak and Kedlaya
Victoria Cantoral Farfán, Johan Commelin
The algebraic Sato-Tate conjecture was initially introduced by Serre and then discussed by Banaszak and Kedlaya. This note shows that the Mumford-Tate conjecture for an abelian var…
math.NT2016
A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties
Victoria Cantoral Farfán
This survey describe Hodge, Tate and Mumford-Tate conjectures for abelian varieties. After some preliminaries on endomorphism ring, polarization and algebraic cycles, we state the…