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Séminaire de Théorie des Nombres
Finite group schemes and semistable abelian varieties
René Schoof
( Roma "Tor Vergata" )
Salle 2
19 novembre 2015 à 14:00
The Jacobian
J
0
(
23
)
J_0(23)
of the modular curve
X
0
(
23
)
X_0(23)
is a semi-stable abelian variety over
Q
\mathbb{Q}
with good reduction outside 23. It is simple. We prove that every simple semi-stable abelian variety over
Q
\mathbb{Q}
with good reduction outside 23 is isogenous over
Q
\mathbb{Q}
to
J
0
(
23
)
J_0(23)
.
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