Timo Keller

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math.NT2024

$p$ -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes

Timo Keller, Mulun Yin

Let $E / Q$ be an elliptic curve and $p \geq 3$ be a prime. We prove the $p$ -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes…

math.NT2021

Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces

Timo Keller, Michael Stoll

Let $X$ be one of the $28$ Atkin-Lehner quotients of a curve $X_{0} (N)$ such that $X$ has genus $2$ and its Jacobian variety $J$ is absolutely simple. We show that the Shafarevich-Ta…

p-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes

Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces

$p$ -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes