Special cohomology classes for modular Galois representations
Number Theory
2012-02-29 v1
Abstract
Building on ideas of Vatsal, Cornut proved a conjecture of Mazur asserting the generic nonvanishing of Heegner points on an elliptic curve E as one ascends the anticyclotomic Z_p-extension of a quadratic imaginary extension K/Q. In the present article Cornut's result is extended by replacing the elliptic curve E with the Galois cohomology of Deligne's 2-dimensional l-adic representation attached to a modular form of weight 2k>2, and replacing the family of Heegner points with an analogous family of special cohomology classes.
Cite
@article{arxiv.1202.6355,
title = {Special cohomology classes for modular Galois representations},
author = {Benjamin Howard},
journal= {arXiv preprint arXiv:1202.6355},
year = {2012}
}