The 3-adic eigencurve at the boundary of weight space

David Roe

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arXiv · 1310.7354

The 3-adic eigencurve at the boundary of weight space

David Roe

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Abstract

This paper generalizes work of Buzzard and Kilford to the case $p=3$, giving an explicit bound for the overconvergence of the quotient $E_κ/ V(E_κ)$ 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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David Roe. 2013-10-28. The 3-adic eigencurve at the boundary of weight space. https://arxiv.org/abs/1310.7354

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