Abstract
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) |
|---|---|
| Pages (from-to) | 1381-1395 |
| Number of pages | 15 |
| Journal | Duke Mathematical Journal |
| Volume | 165 |
| Issue number | 7 |
| DOIs | |
| State | Published - May 1 2016 |
All Science Journal Classification (ASJC) codes
- General Mathematics
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