The 3-adic eigencurve at the boundary of weight space

preprint2013arXivOpen access

Abstract

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

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