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An Analytic Zariski Structure Over a Field
Authors:Nick Peatfield
Institution:(1) Department of Mathematics, Royal Fort Annex, University of Bristol, BS8 1TW Bristol, UK
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.
Keywords:Analytic Zariski structure  Hrushovski construction  Complex analytic space
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