p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication
Number Theory
2007-10-30 v1 Algebraic Geometry
Abstract
We show how non-vanishing of p-adic L functions controls the dimensions of Selmer varieties associated to the complement of the origin in an elliptic curve with CM. As a corollary, one obtains a \pi_1-proof of the theorem of Siegel for such curves.
Keywords
Cite
@article{arxiv.0710.5290,
title = {p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication},
author = {Minhyong Kim},
journal= {arXiv preprint arXiv:0710.5290},
year = {2007}
}