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Preprint Number 802

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802. Arno Fehm and Franziska Jahnke
On the quantifier complexity of definable canonical henselian valuations

Submission date: 25 November 2014.


We discuss definability in the language of rings without parameters of the unique canonical henselian valuation of a field. We show that in most cases where the canonical henselian valuation is definable, it is already definable by a universal-existential or an existential-universal formula.

Mathematics Subject Classification: Primary: 03C40, 12L12. Secondary: 12E30, 13J15

Keywords and phrases:

Full text arXiv 1411.6844: pdf, ps.

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