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arXiv · 1802.06429

Cech cohomology and the Capitulation kernel

Cristian D. Gonzalez-Aviles
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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.

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Cristian D. Gonzalez-Aviles. 2018-02-18. Cech cohomology and the Capitulation kernel. https://arxiv.org/abs/1802.06429

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