The geometry of Hrushovski constructions, I. The uncollapsed case
Logic
2011-03-21 v1
Abstract
An intermediate stage in Hrushovski's construction of flat strongly minimal structures in a relational language L produces omega-stable structures of rank omega. We analyze the pregeometries given by forking on the regular type of rank omega in these structures. We show that varying L can affect the (local) isomorphism type of the pregeometry, but not its finite subpregeometries. A sequel will compare these to the pregeometries of the strongly minimal structures.
Keywords
Cite
@article{arxiv.1103.3638,
title = {The geometry of Hrushovski constructions, I. The uncollapsed case},
author = {David M. Evans and Marco S. Ferreira},
journal= {arXiv preprint arXiv:1103.3638},
year = {2011}
}
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31 pages