Vol. 2, No. 2, 2008

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The Coleman–Mazur eigencurve is proper at integral weights

Frank Calegari

Vol. 2 (2008), No. 2, 209–215
Abstract

We prove that the Coleman–Mazur eigencurve is proper (over weight space) at integral weights in the center of weight space.

Keywords
$p$-adic modular forms, the eigencurve, overconvergent modular forms
Mathematical Subject Classification 2000
Primary: 11F11
Milestones
Received: 17 August 2007
Revised: 20 November 2007
Accepted: 18 December 2007
Published: 15 March 2008
Authors
Frank Calegari
Department of Mathematics
Northwestern University
2033 Sheridan Road
Evanston, IL 60208
http://www.math.northwestern.edu/~fcale/