Abstract
AbstractThe 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.
Publisher
Cambridge University Press (CUP)
Reference26 articles.
1. Zariski Geometries
2. The quantum harmonic oscillator as a Zariski geometry
3. [18] Poizat B. , Une théorie de Galois imaginaire, this Journal, vol. 48 (1983), no. 4, pp. 1151–117.
4. Stable Groups