From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
Point counts of abelian varieties over finite fields determining their zeta function
Shiva Chidambaram, Timo Keller
The paper proves that for an abelian variety of dimension g over a sufficiently large finite field, the point counts over the first g extensions uniquely determine its zeta functio…
math.NT2026
On the Visibility category of the Shafarevich--Tate group
Barinder S. Banwait, Jerson Caro, Shiva Chidambaram
Given an elliptic curve over $\Q$ and a nontrivial element of its Shafarevich--Tate group $\Sha(E)$, we introduce the \textbf{Visualization category} $\V(E; Ï)$ of abelia…
math.NT2025
Computing the mod-3 Galois image of a principally polarized abelian surface over the rationals
Shiva Chidambaram
A lot of work has gone into computing images of Galois representations coming from elliptic curves. This article presents an algorithm to determine the image of the mod- Galois…