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September 2019 Čech cohomology and the capitulation kernel
Cristian D. González-Avilés
Funct. Approx. Comment. Math. 61(1): 95-108 (September 2019). DOI: 10.7169/facm/1758

Abstract

We discuss the capitulation kernel associated to a degree $n$ covering using Čech cohomology and the Kummer sequence. The main result is a five-term exact sequence that relates the capitulation kernel to the Čech cohomology of the $n$-th roots of unity and a certain subquotient of the group of units modulo $n$-th powers.

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Cristian D. González-Avilés. "Čech cohomology and the capitulation kernel." Funct. Approx. Comment. Math. 61 (1) 95 - 108, September 2019. https://doi.org/10.7169/facm/1758

Information

Published: September 2019
First available in Project Euclid: 29 November 2018

zbMATH: 07126912
MathSciNet: MR4012364
Digital Object Identifier: 10.7169/facm/1758

Subjects:
Primary: 11R29, 14F20

Rights: Copyright © 2019 Adam Mickiewicz University

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Vol.61 • No. 1 • September 2019
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