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