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Expansions of fields by angular functions

Part of: Model theory

Published online by Cambridge University Press:  07 October 2008

David M. Evans
David M. Evans
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK (d.evans@uea.ac.uk)
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Abstract

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The notion of an angular function has been introduced by Zilber as one possible way of connecting non-commutative geometry with two ‘counterexamples’ from model theory: the non-classical Zariski curves of Hrushovski and Zilber, and Poizat's field with green points. This article discusses some questions of Zilber relating to existentially closed structures in the class of algebraically closed fields with an angular function.

Keywords

angular functionsimplicityexistentially closedweak finite cover propertymeasure

MSC classification

Secondary: 03C45: Classification theory, stability and related concepts
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 7 , Issue 4 , October 2008 , pp. 735 - 750
Copyright
Copyright © Cambridge University Press 2008