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GENERALISED IMAGINARIES AND GALOIS COHOMOLOGY
Published online by Cambridge University Press: 14 September 2016
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.
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- Copyright © The Association for Symbolic Logic 2016