Higher-dimensional Contou-Carr\`ere symbol and continuous automorphisms
Algebraic Geometry
2016-12-26 v2 K-Theory and Homology
Number Theory
Abstract
We prove that the higher-dimensional Contou-Carr\`ere symbol is invariant under continuous automorphisms of algebras of iterated Laurent series over a ring. Applying this property, we obtain a new explicit formula for the higher-dimensional Contou-Carr\`ere symbol. Unlike previously known formulas, this formula is given over an arbitrary ring, not necessarily a -algebra, and does not involve algebraic -theory.
Keywords
Cite
@article{arxiv.1604.08049,
title = {Higher-dimensional Contou-Carr\`ere symbol and continuous automorphisms},
author = {Sergey Gorchinskiy and Denis Osipov},
journal= {arXiv preprint arXiv:1604.08049},
year = {2016}
}
Comments
18 pages; minor changes