Buzzard, Kevin; Calegari, Frank

The 2-adic eigencurve is proper

Doc. Math. (Bielefeld) Extra Vol. John H. Coates' Sixtieth Birthday, 211-232 (2006)

Summary

Coleman and Mazur ask whether the Eigencurve has any "holes". We answer their question in the negative for the $2$-adic Eigencurve of tame level one.

Mathematics Subject Classification

11F33, 11F85

Keywords/Phrases

modular forms, modular curves, $U$-operator, overconvergent modular form

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