On non-commutative twisting in etale and motivic cohomology
Number Theory
2010-02-04 v2 K-Theory and Homology
Abstract
In this paper we use ideas of the non-abelian Iwasawa main conjecture to prove a result about the first Galois cohomology of continuous Galois modules V_p(j) for large Tate-twist j and V_p a Q_p vector space. We show that under a technical hypothesis that H^1(K, V_p(j)) is generated by twists of norm-compatible units in an infinite tower of number fields with elements in V_p(j-1). This confirms a consequence of the non-abelian Iwasawa main conjecture. Using the "Bloch-Kato-conjecture" a similar result is proven for motivic cohomology with finite coefficients.
Keywords
Cite
@article{arxiv.math/0404263,
title = {On non-commutative twisting in etale and motivic cohomology},
author = {J. Hornbostel and G. Kings},
journal= {arXiv preprint arXiv:math/0404263},
year = {2010}
}
Comments
22 pages