The Eigencurve is Proper

Abstract

We prove that the Coleman-Mazur eigencurve is proper over the weight space for any prime p and tame level N.

Final refereed version; to appear in Duke mathematical Journal

References in corpus (1)

• The 2-adic Eigencurve is Proper

Cited by in corpus (3)

• The eigencurve over the boundary of weight space
• Cohomology of $(\phi ,\Gamma )$-modules over pseudorigid spaces
• A modular proof of the properness of the Coleman-Mazur eigencurve