An Analytic Zariski Structure Over a Field

Archive for Mathematical Logic 45 (6):739-768 (2006)
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Abstract

Following the introduction and preliminary investigations of analytic Zariski structures in Peatfield and Zilber (Ann pure Appl Logic 132:125–180, 2005) an example of an analytic Zariski structure extending an algebraically closed field is provided. The example is constructed using Hrushovski’s method of free amalgamation, and a topology is introduced in which we can verify the analytic Zariski axioms

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10.1007/s00153-006-0007-1

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References found in this work

A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
Model completeness of the new strongly minimal sets.Kitty L. Holland - 1999 - Journal of Symbolic Logic 64 (3):946-962.
Analytic Zariski structures and the Hrushovski construction.Nick Peatfield & Boris Zilber - 2005 - Annals of Pure and Applied Logic 132 (2):127-180.
The theory of liouville functions.Pascal Koiran - 2003 - Journal of Symbolic Logic 68 (2):353-365.
Raising to powers revisited.Boris Zilber - 2005 - Annals of Pure and Applied Logic 132 (1):67-95.

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