The 3-adic eigencurve at the boundary of weight space

Abstract

This paper generalizes work of Buzzard and Kilford to the case $p=3$, giving an explicit bound for the overconvergence of the quotient $E_{\kappa }/V(E_{\kappa })$ and using this bound to prove that the eigencurve is a union of countably many annuli over the boundary of weight space.

arXiv comment12 pages