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20162026
most citedPicard ranks of K3 surfaces over function fields and the Hecke orbit conjecture

14 citations · 67 across the 20 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.NT2021

Finiteness of reductions of Hecke orbits

Mark Kisin, Yeuk Hay Joshua Lam, Ananth N. Shankar +1

We prove two finiteness results for reductions of Hecke orbits of abelian varieties over local fields: one in the case of supersingular reduction and one in the case of reductive m…

math.NT2021★ 3 cited

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.

math.NT2021

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…