Buzzard, Kevin; Calegari, Frank
The 2-adic eigencurve is proper
Doc. Math. (Bielefeld) Extra Vol. John H. Coates' Sixtieth Birthday, 211-232 (2006)
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
modular forms, modular curves, $U$-operator, overconvergent modular form