English

The 3-adic eigencurve at the boundary of weight space

Number Theory 2013-10-29 v1

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_\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.

Keywords

Cite

@article{arxiv.1310.7354,
  title  = {The 3-adic eigencurve at the boundary of weight space},
  author = {David Roe},
  journal= {arXiv preprint arXiv:1310.7354},
  year   = {2013}
}

Comments

12 pages