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Preprint Number 1676

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1676. Sylvy Anscombe and Franziska Jahnke
Characterizing NIP henselian fields

Submission date: 1 November 2019


In this paper, we characterize NIP henselian valued fields modulo the theory of their residue field, both in an algebraic and in a model-theoretic way. Assuming the conjecture that every infinite NIP field is either separably closed, real closed or admits a non-trivial henselian valuation, this allows us to obtain a characterization of all theories of NIP fields.

Mathematics Subject Classification:

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Full text arXiv 1911.00309: pdf, ps.

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