When Andrew John Wiles was 10 years old, he read Eric Temple Bell’s The Last Problem and was so impressed by it that he decided that he would be the first person to prove Fermat’s Last Theorem. This… Expand

The purpose of this article is to provide a key ingredient of [W2] by establishing that certain minimal Hecke algebras considered there are complete intersections. As is recorded in [W2], a method… Expand

Let F be a totally real number field. Let p be a prime number and for any integer n let Fun denote the group of nth roots of unity. Let 41 be a p-adic valued Artin character for F and let F,, be the… Expand

A polynomial relation f(x, y) = 0 in two variables defines a curve C0. If the coefficients of the polynomial are rational numbers then one can ask for solutions of the equation f(x, y) = 0 with x, y… Expand

Nous prouvons dans cet article la modularite de certaines representations p-adiques de Gal(F/F), ou F est un corps totalement reel. Les conditions principales sont que p soit impair, que la… Expand

Abstract The aim of the paper is to prove an elliptic analogue of a deep theorem of Iwasawa on cyclotomic fields. Subject classification(Amer. Math. Soc. (MOS) 1970): primary 12 A 35, 12 A 65.