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GENERALISED IMAGINARIES AND GALOIS COHOMOLOGY

Published online by Cambridge University Press:  14 September 2016

DMITRY SUSTRETOV*
Affiliation:
EINSTEIN INSTITUTE OF MATHEMATICS EDMOND J. SAFRA CAMPUS THE HEBREW UNIVERSITY OF JERUSALEM GIVAT RAM, JERUSALEM 91904, ISRAELE-mail: [email protected]

Abstract

The objective of this article is to characterise elimination of finite generalised imaginaries as defined in [9] in terms of group cohomology. As an application, I consider series of Zariski geometries constructed [10, 23, 24] by Hrushovski and Zilber and indicate how their nondefinability in algebraically closed fields is connected to eliminability of certain generalised imaginaries.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2016 

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