Analytic Zariski structures and non-elementary categoricity
Logic
2016-01-13 v1
Abstract
We study analytic Zariski structures from the point of view of non-elementary model theory. We show how to associate an abstract elementary class with a one-dimensional analytic Zariski structure and prove that the class is stable, quasi-minimal and homogeneous over models. We also demonstrate how Hrushovski's predimension arises in this general context as a natural geometric notion and use it as one of our main tools.
Cite
@article{arxiv.1601.02961,
title = {Analytic Zariski structures and non-elementary categoricity},
author = {Boris Zilber},
journal= {arXiv preprint arXiv:1601.02961},
year = {2016}
}