Hostname: page-component-7c8c6479df-r7xzm Total loading time: 0 Render date: 2024-03-28T02:39:10.692Z Has data issue: false hasContentIssue false

The 2-adic eigencurve at the boundary of weight space

Published online by Cambridge University Press:  21 April 2005

Kevin Buzzard
Affiliation:
Department of Mathematics, Imperial College, South Kensington, London SW7 2AZ, UKbuzzard@imperial.co.uk
L. J. P. Kilford
Affiliation:
Mathematical Institute, 24–29 St Giles', Oxford OX1 3LB, UKl.kilford@gmail.com
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove that, near the boundary of weight space, the 2-adic eigencurve of tame level 1 can be written as an infinite disjoint union of ‘evenly spaced’ annuli, and on each annulus the slopes of the corresponding overconvergent eigenforms tend to zero.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2005