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Regular version of the site

Article

Generalised imaginaries and Galois cohomology

Journal of Symbolic Logic. 2016. Vol. 81. No. 3. P. 917-935.
Sustretov D.

The objective of this article is to characterise elimination of finite generalised imaginaries (as defined by Hrushovski) in terms of group cohomology. As an application, I consider series of Zariski geometries constructed by Hrushovski and Zilber, and indicate how their non-definability in algebraically closed fields and other theories is connected to eliminability of certain generalised imaginaries.