Abstract
We prove that the Coleman–Mazur eigencurve is proper (over weight space) at integral weights in the center of weight space.
Citation
Frank Calegari. "The Coleman–Mazur eigencurve is proper at integral weights." Algebra Number Theory 2 (2) 209 - 215, 2008. https://doi.org/10.2140/ant.2008.2.209
Information
Received: 17 August 2007; Revised: 20 November 2007; Accepted: 18 December 2007; Published: 2008
First available in Project Euclid: 20 December 2017
zbMATH: 1182.11021
MathSciNet: MR2377369
Digital Object Identifier: 10.2140/ant.2008.2.209
Subjects:
Primary:
11F11
Keywords:
$p$-adic modular forms
,
overconvergent modular forms
,
the eigencurve
Rights: Copyright © 2008 Mathematical Sciences Publishers