A model-theoretic counterpart to Moishezon morphisms
Logic
2015-03-17 v1
Abstract
In this note a natural strengthening of internality motivated by complex geometry, being "Moishezon" to a set of types, is introduced. Under the hypothesis of Pillay's canonical base property, and using results of Chatzidakis, a criterion is given for when a finite U-rank stationary type that is internal to a nonmodular minimal type is in fact Moishezon to the set of all nonmodular minimal types. This result is a model-theoretic analogue of (a special case of) Campana's "first algebraicity criterion". Other related abstractions from complex geometry, including "coreductions" and "generating fibrations" are also discussed.
Cite
@article{arxiv.1004.4832,
title = {A model-theoretic counterpart to Moishezon morphisms},
author = {Rahim Moosa},
journal= {arXiv preprint arXiv:1004.4832},
year = {2015}
}
Comments
12 pages