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Preprint Number 1082

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1082. Arno Fehm and Franziska Jahnke
Recent Progress on Definability of Henselian Valuations

Submission date: 8 August 2016


Although the study of the definability of henselian valuations has a long history starting with J. Robinson, most of the results in this area were proven during the last few years. We survey these results which address the definability of concrete henselian valuations, the existence of definable henselian valuations on a given field, and questions of uniformity and quantifier complexity.

Mathematics Subject Classification: 12J10, 12L12, secondary: 03C60, 12E30

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Full text arXiv 1608.02342: pdf, ps.

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