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Currently displaying 1 – 8 of 8

Order by Relevance | Title | Year of publication

Hasse invariant and group cohomology.

Edixhoven, Bas; Khare, Chandrashekhar — 2003

Documenta Mathematica

$J_{1} (p)$ has connected fibers.

Conrad, Brian; Edixhoven, Bas; Stein, William — 2003

Documenta Mathematica

Néron models and tame ramification

Bas Edixhoven — 1992

Compositio Mathematica

Rational elliptic curves are modular

Séminaire Bourbaki

Rational torsion points on elliptic curves over number fields

Séminaire Bourbaki

The weight in Serre's conjectures on modular forms.

Bas Edixhoven — 1992

Inventiones mathematicae

On the prime-to- $p$ part of the groups of connected components of Néron models

Bas Edixhoven — 1995

Compositio Mathematica

Minimal resolution and stable reduction of $X_{0} (N)$

Bas Edixhoven — 1990

Annales de l'institut Fourier

Let $N \geq 1$ be an integer. Let $X_{0} (N)$ be the modular curve over $Z$ , as constructed by Katz and Mazur. The minimal resolution of $X_{0} (N)$ over $Z [1 / 6]$ is computed. Let $p \geq 5$ be a prime, such that $N = p^{2} M$ , with $M$ prime to $p$ . Let $n = (p^{2} - 1) / 2$ . It is shown that $X_{0} (N)$ has stable reduction at $p$ over $Q [\sqrt[n]{p}]$ , and the fibre at $p$ of the stable model is computed.

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