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首页> 外文期刊>Israel Journal of Mathematics >Elimination of ramification II: Henselian rationality
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Elimination of ramification II: Henselian rationality

机译：消除分枝II：Henselian理性

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摘要

We prove in arbitrary characteristic that an immediate valued algebraic function field F of transcendence degree 1 over a tame field K is contained in the henselization of K(x) for a suitably chosen x is an element of F. This eliminates ramification in such valued function fields. We give generalizations of this result, relaxing the assumption on K. Our theorems have important applications to local uniformization and to the model theory of valued fields in positive and mixed characteristic.
机译：We prove in arbitrary characteristic that an immediate valued algebraic function field F of transcendence degree 1 over a tame field K is contained in the henselization of K(x) for a suitably chosen x is an element of F. This eliminates ramification in such valued function 字段。 我们给出了这一结果的概括，放松了K的假设。我们的定理对局部统一化以及积极和混合特性的有价值领域的模型理论具有重要应用。

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