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Department of Mathematics,
University of California San Diego

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Math 209 - Number Theory

Rene Schoof

Universita di Roma Tor Vergata

Finite group schemes and abelian varieties with good reduction outside one prime

Abstract:

The Jacobian $J_0(23)$ of the modular curve $X_0(23)$ is a semi-stable abelian variety over $\Bbb Q$ with good reduction outside $23$. It is simple. We prove that every simple semi-stable abelian variety over $\Bbb Q$ with good reduction outside $23$ is isogenous over $\Bbb Q$ to $J_0(23)$.

Host: Cristian Popescu

April 16, 2015

2:00 PM

AP&M 7321

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