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15 May 2016 The eigencurve is proper
Hansheng Diao, Ruochuan Liu
Duke Math. J. 165(7): 1381-1395 (15 May 2016). DOI: 10.1215/00127094-3450536

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.

Citation

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Hansheng Diao. Ruochuan Liu. "The eigencurve is proper." Duke Math. J. 165 (7) 1381 - 1395, 15 May 2016. https://doi.org/10.1215/00127094-3450536

Information

Received: 1 April 2014; Revised: 8 March 2015; Published: 15 May 2016
First available in Project Euclid: 22 December 2015

zbMATH: 06591243
MathSciNet: MR3498869
Digital Object Identifier: 10.1215/00127094-3450536

Subjects:
Primary: 11F11
Secondary: 11F80

Rights: Copyright © 2016 Duke University Press

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Vol.165 • No. 7 • 15 May 2016
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