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GENERALISED IMAGINARIES AND GALOIS COHOMOLOGY

Published online by Cambridge University Press:  14 September 2016

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

Keywords

generalised imaginariesinterpretabilityGalois cohomologyinternalityZariski geometriesAzumaya algebras
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 3 , September 2016 , pp. 917 - 935
Copyright
Copyright © The Association for Symbolic Logic 2016 

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