Geometric axioms for existentially closed Hasse fields

Annals of Pure and Applied Logic 135 (1-3):286-302 (2005)
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Abstract

We give geometric axioms for existentially closed Hasse fields. We prove a quantifier elimination result for existentially closed n-truncated Hasse fields and characterize them as reducts of existentially closed Hasse fields

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10.1016/j.apal.2005.02.003

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Piotr Kowalski
Universität Regensburg

Citations of this work

Existentially closed fields with finite group actions.Daniel M. Hoffmann & Piotr Kowalski - 2018 - Journal of Mathematical Logic 18 (1):1850003.

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References found in this work

Notes on the stability of separably closed fields.Carol Wood - 1979 - Journal of Symbolic Logic 44 (3):412-416.
Separably closed fields with Hasse derivations.Martin Ziegler - 2003 - Journal of Symbolic Logic 68 (1):311-318.
Separably closed fields with higher derivations I.Margit Messmer & Carol Wood - 1995 - Journal of Symbolic Logic 60 (3):898-910.
Derivations of the Frobenius map.Piotr Kowalski - 2005 - Journal of Symbolic Logic 70 (1):99-110.

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