1. GENERALISED IMAGINARIES AND GALOIS COHOMOLOGY
- Author
-
Dmitry Sustretov
- Subjects
Philosophy ,Pure mathematics ,010201 computation theory & mathematics ,Logic ,Galois cohomology ,Group cohomology ,010102 general mathematics ,Galois group ,Equivariant cohomology ,0102 computer and information sciences ,0101 mathematics ,01 natural sciences ,Mathematics - 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.
- Published
- 2016