科研之友
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摘要
Consider tuples (K-1, . . . , K-r) of separable algebras over a common local or global number field F, with the K-i 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 of K-i/F. We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.
- 出版日期2014
