The eigencurve is proper

Hansheng Diao, Ruochuan Liu

Research output: Contribution to journalArticle

4 Scopus citations

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 languageEnglish (US)
Pages (from-to)1381-1395
Number of pages15
JournalDuke Mathematical Journal
Volume165
Issue number7
DOIs
StatePublished - May 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'The eigencurve is proper'. Together they form a unique fingerprint.

  • Cite this