English

Quelques courbes de Hecke se plongent dans l'espace de Colmez

Number Theory 2007-10-14 v2

Abstract

Let p be a prime, C the p-adic Eigencurve (with tame level 1) and Z the blow-up of the Fredholm hypersurface of the U_p - operator at the special points. We show that for p = 2, 3, 5 and 7, the natural map C -> Z is a rigid-analytic isomorphism.

Keywords

Cite

@article{arxiv.0708.2046,
  title  = {Quelques courbes de Hecke se plongent dans l'espace de Colmez},
  author = {Gaetan Chenevier},
  journal= {arXiv preprint arXiv:0708.2046},
  year   = {2007}
}

Comments

19 pages, french. Minor revisions