A counterexample to the Gouvea--Mazur conjecture
Number Theory
2007-05-23 v1
Abstract
Gouvea and Mazur made a precise conjecture about slopes of modular forms. Weaker versions of this conjecture were established by Coleman and Wan. In this note, we exhibit explicit examples contradicting the full conjecture as it currently stands.
Keywords
Cite
@article{arxiv.math/0311361,
title = {A counterexample to the Gouvea--Mazur conjecture},
author = {Kevin Buzzard and Frank Calegari},
journal= {arXiv preprint arXiv:math/0311361},
year = {2007}
}
Comments
4 pages