Generalised imaginaries and galois cohomology

Journal of Symbolic Logic 81 (3):917-935 (2016)
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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.

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10.1017/jsl.2016.46

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References found in this work

A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
The quantum harmonic oscillator as a Zariski geometry.Vinesh Solanki, Dmitry Sustretov & Boris Zilber - 2014 - Annals of Pure and Applied Logic 165 (6):1149-1168.

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