Abstract. The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q with good reduction outside 23. It is simple. We prove that every simple semi-stable abelian variety over Q with good reduction outside 23 is isogenous over Q to J0(23).

Schoof, R.j. (2012). On the modular curve X_0(23). In F. Faber (a cura di), Geometry and Arithmetic. European Mathematical Society.

On the modular curve X_0(23)

SCHOOF, RENATUS JOHANNES
2012-01-01

Abstract

Abstract. The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q with good reduction outside 23. It is simple. We prove that every simple semi-stable abelian variety over Q with good reduction outside 23 is isogenous over Q to J0(23).
2012
Settore MAT/03 - GEOMETRIA
English
Rilevanza internazionale
Capitolo o saggio
Group schemes, modular curves, algebraic number fields
Schoof, R.j. (2012). On the modular curve X_0(23). In F. Faber (a cura di), Geometry and Arithmetic. European Mathematical Society.
Schoof, Rj
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/102847
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