Japanese Dedekind domains are excellent

Chia-Fu Yu

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arXiv · 2102.10481

Japanese Dedekind domains are excellent

Chia-Fu Yu

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Abstract

The well-known fundamental identity in number theory expresses the degree of an extension of global fields in terms of local information. In this article we show a generalized fundamental identity for arbitrary Dedekind domains. As an application, we show that any Japanese Dedekind domain is already excellent.

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Chia-Fu Yu. 2021-02-21. Japanese Dedekind domains are excellent. https://arxiv.org/abs/2102.10481

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