We prove in this article that, for any prime p and tame level N, the projection from the eigencurve to the weight space satisfies a rigid analytic version of the valuative criterion for properness introduced by Buzzard and Calegari. This gives a negative answer to a question of Coleman and Mazur.
|Original language||English (US)|
|Number of pages||15|
|Journal||Duke Mathematical Journal|
|State||Published - May 1 2016|
All Science Journal Classification (ASJC) codes