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Preprint Number 2045

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2045. Blaise Boissonneau
Artin-Schreier extensions and combinatorial complexity in henselian valued fields
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Submission date: 28 August 2021

Abstract:

In this paper, we give explicit formulas witnessing IP, IP_n or TP2 in fields with Artin-Schreier extensions. We use them to control p-extensions of mixed characteristic henselian valued fields, most notably, we obtain a partial classification in the NIP_n case, and we prove that NIP_n henselian valued fields with NIP residue field are NIP.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 2108.12678: pdf, ps.


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