Cech cohomology and the Capitulation kernel
Number Theory
2018-02-20 v1 Algebraic Geometry
Abstract
We discuss the capitulation kernel associated to a degree n covering using Cech cohomology and the Kummer sequence. The main result is a five-term exact sequence that relates the capitulation kernel to the Cech cohomology of the n-th roots of unity and a certain subquotient of the group of units modulo n-th powers.
Cite
@article{arxiv.1802.06429,
title = {Cech cohomology and the Capitulation kernel},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:1802.06429},
year = {2018}
}
Comments
17 pages