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Mazur‘s Principle for Totally Real Fields of Odd Degree

Published online by Cambridge University Press:  04 December 2007

FRAZER JARVIS
FRAZER JARVIS
Affiliation:
Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB, U.K. e-mail: jarvisa@maths.ox.ac.uk
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Abstract

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In this paper, we prove an analogue of the result known as Mazur‘s Principle concerning optimal levels of mod [ell ] Galois representations. The paper is divided into two parts. We begin with the study (following Katz–Mazur) of the integral model for certain Shimura curves and the structure of the special fibre. It is this study which allows us to generalise, in the second part of this paper, Mazur‘s result to totally real fields of odd degree.

Keywords

Modular formsGalois representationstotally real fields.
Type
Research Article
Information
Compositio Mathematica , Volume 116 , Issue 1 , March 1999 , pp. 39 - 79
Copyright
© 1999 Kluwer Academic Publishers