Analytic Zariski structures and the Hrushovski construction

NJ Peatfield, B Zilber

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

A set of axioms is presented defining an 'analytic Zariski structure', as a generalisation of Hrushovski and Zilber's Zariski structures. Some consequences of the axioms are explored. A simple example of a structure constructed using Hrushovski's method of free amalgamation is shown to be a non-trivial example of an analytic Zariski structure. A number of 'quasi-analytic' results are derived for this example e.g. analogues of Chow's theorem and the proper mapping theorem. (C) 2004 Elsevier B.V. All rights reserved.
Translated title of the contributionAnalytic Zariski structures and the Hrushovski construction
Original languageEnglish
Pages (from-to)127 - 180
Number of pages54
JournalAnnals of Pure and Applied Logic
Volume132 (2-3)
DOIs
Publication statusPublished - Mar 2005

Bibliographical note

Publisher: Elsevier
Other identifier: IDS Number: 886JV

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