Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-16T16:58:16.806Z Has data issue: false hasContentIssue false

Expansions of fields by angular functions

Published online by Cambridge University Press:  07 October 2008

David M. Evans
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK ([email protected])

Abstract

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.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)