Geometric proofs of theorems of Ax-Kochen and Eršov

DOI10.1353/ajm.2016.0008zbMath1350.11048arXiv1601.03607OpenAlexW2963125077WikidataQ113747158 ScholiaQ113747158MaRDI QIDQ2800425

Jan Denef

Publication date: 15 April 2016

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03607

zbMATH Keywords

transfer principle\(p\)-adic Diophantine equationsquantifier elimination theoremsweak toroidalization

Mathematics Subject Classification ID

Integral representations (11S23) (p)-adic and power series fields (11D88) Formally (p)-adic fields (12J12)

Related Items (5)

Weak toroidalization over non-closed fields ⋮ Local monomialization of analytic maps ⋮ Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem ⋮ Unnamed Item ⋮ Diophantine problems over tamely ramified fields

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