The Coleman–Mazur eigencurve is proper at integral weights

Recent Issues

The Journal

ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

Vol. 2 (2008), No. 2, 209–215

DOI: 10.2140/ant.2008.2.209

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

$p$-adic modular forms, the eigencurve, overconvergent modular forms

Primary: 11F11

Received: 17 August 2007

Revised: 20 November 2007

Accepted: 18 December 2007

Published: 15 March 2008

Frank Calegari
Department of Mathematics Northwestern University 2033 Sheridan Road Evanston, IL 60208
http://www.math.northwestern.edu/~fcale/