FIELDS INTERPRETABLE IN P-MINIMAL FIELDS

Yatir Halevi; Assaf Hasson; Ya'acov Peterzil

doi:10.48550/arXiv.2103.15198

FIELDS INTERPRETABLE IN P-MINIMAL FIELDS

Yatir Halevi, Assaf Hasson, Ya'acov Peterzil

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Working paper › Preprint

Abstract

We prove that an infinite field interpretable in a p-adically closed field K is definably isomorphic to a finite extension of K. The result remains true in any P-minimal field where definable functions are generically differentiable.

Original language	American English
DOIs	https://doi.org/10.48550/arXiv.2103.15198
State	Published - 30 Mar 2021

Keywords

Mathematics - Logic
Mathematics - Rings and Algebras

Access to Document

10.48550/arXiv.2103.15198

http://adsabs.harvard.edu/abs/2021arXiv210315198H

Cite this

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title = "FIELDS INTERPRETABLE IN P-MINIMAL FIELDS",

abstract = "We prove that an infinite field interpretable in a p-adically closed field K is definably isomorphic to a finite extension of K. The result remains true in any P-minimal field where definable functions are generically differentiable.",

keywords = "Mathematics - Logic, Mathematics - Rings and Algebras",

author = "Yatir Halevi and Assaf Hasson and Ya'acov Peterzil",

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doi = "10.48550/arXiv.2103.15198",

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AU - Halevi, Yatir

AU - Hasson, Assaf

AU - Peterzil, Ya'acov

PY - 2021/3/30

Y1 - 2021/3/30

N2 - We prove that an infinite field interpretable in a p-adically closed field K is definably isomorphic to a finite extension of K. The result remains true in any P-minimal field where definable functions are generically differentiable.

AB - We prove that an infinite field interpretable in a p-adically closed field K is definably isomorphic to a finite extension of K. The result remains true in any P-minimal field where definable functions are generically differentiable.

KW - Mathematics - Logic

KW - Mathematics - Rings and Algebras

U2 - 10.48550/arXiv.2103.15198

DO - 10.48550/arXiv.2103.15198

M3 - Preprint

BT - FIELDS INTERPRETABLE IN P-MINIMAL FIELDS

ER -

FIELDS INTERPRETABLE IN P-MINIMAL FIELDS

Abstract

Keywords

Access to Document

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Cite this