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arXiv · 1208.5806

The tame-wild principle for discriminant relations for number fields

John W. Jones·David P. Roberts
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Abstract

Consider tuples of separable algebras over a common local or global number field, related to each other by specified resolvent constructions. Under the assumption that all ramification is tame, simple group-theoretic calculations give best possible divisibility relations among the discriminants. We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.

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John W. Jones, David P. Roberts. 2012-12-17. The tame-wild principle for discriminant relations for number fields. https://doi.org/10.2140/ant.2014.8.609

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