The eigencurve is proper

Hansheng Diao, Ruochuan Liu

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish (US)
Pages (from-to)1381-1395
Number of pages15
JournalDuke Mathematical Journal
Issue number7
StatePublished - May 1 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics


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