A counterexample to the Gouvea--Mazur conjecture

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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.
4 pages

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Number Theory, 11F11

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http://salesiana.dossiersoluciones.com/handle/123456789/69278

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311361
 http://arxiv.org/abs/math/0311361

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arXiv