DEGREE OF AN EXTENSION OF Q(P)(NR) ON WHI CH J(0)(N) IS SEMI-STABLE

Authors
Citation
M. Krir, DEGREE OF AN EXTENSION OF Q(P)(NR) ON WHI CH J(0)(N) IS SEMI-STABLE, Annales de l'Institut Fourier, 46(2), 1996, pp. 279
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
03730956
Volume
46
Issue
2
Year of publication
1996
Database
ISI
SICI code
0373-0956(1996)46:2<279:DOAEOQ>2.0.ZU;2-Y
Abstract
Given an integer N greater than or equal to 1. For a prime number p we note Q(p)(nr) the maximal unramified extension of Q(p). Suppose p(v) exactly divides N then we use the Carayol's works and the local class field theory Go find an extension E(v) of Q(p)(nr) on which the jacobi an J(0) of the modular curve X(0)(N) has a semi-stable reduction and w e estimate its degree.