A higher-dimensional Contou-Carr\`ere symbol: local theory
Algebraic Geometry
2016-03-03 v3 K-Theory and Homology
Number Theory
Abstract
We construct a higher-dimensional Contou-Carr\`ere symbol and we study its various fundamental properties. The higher-dimensional Contou-Carr\`ere symbol is defined by means of the boundary map for -groups. We prove its universal property. We provide an explicit formula for the higher-dimensional Contou-Carr\`ere symbol over and we prove integrality of this formula. A relation with the higher-dimensional Witt pairing is also studied.
Cite
@article{arxiv.1505.03829,
title = {A higher-dimensional Contou-Carr\`ere symbol: local theory},
author = {Sergey Gorchinskiy and Denis Osipov},
journal= {arXiv preprint arXiv:1505.03829},
year = {2016}
}
Comments
75 pages; minor changes