2 papers
math.NT2025
Abelian varieties not isogenous to Jacobians over global fields
Ananth N. Shankar, Jacob Tsimerman
We prove the existence of abelian varieties not isogenous to Jacobians over characterstic function fields. Our methods involve studying the action of degree Hecke operators…
math.NT2024
Canonical Heights on Shimura Varieties and the André-Oort Conjecture
Jonathan Pila, Ananth N. Shankar, Jacob Tsimerman +2
The main purpose of this work is to prove the André-Oort conjecture in full generality.