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Preprint Number 661

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661. Dmitry Sustretov
Elimination of generalised imaginaries and Galois cohomology
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Submission date: 8 December 2013.

Abstract:

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.

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Full text arXiv 1312.2273: pdf, ps.


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