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- W2963513448 abstract "Given a field k of characteristic zero and an indeterminate T over k, we investigate the local behavior at primes of k of finite Galois extensions of k arising as specializations of finite Galois extensions E/k(T) (with E/k regular) at points |$t_{0} in mathbb{P}^{1}(k)$|. We provide a general result about decomposition groups at primes of k in specializations, extending a fundamental result of Beckmann concerning inertia groups. We then apply our result to study crossed products, the Hilbert-Grunwald property, and finite parametric sets." @default.
- W2963513448 created "2019-07-30" @default.
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- W2963513448 date "2018-02-28" @default.
- W2963513448 modified "2023-10-18" @default.
- W2963513448 title "On the Local Behavior of Specializations of Function Field Extensions" @default.
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- W2963513448 doi "https://doi.org/10.1093/imrn/rny016" @default.
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