Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 241

Preprint Number 241

Previous Next Preprint server

241. Rahim Moosa
A model-theoretic counterpart to Moishezon morphisms

Submission date: 27 April 2010.


The notion of being Moishezon to a set of types, a natural strengthening of internality motivated by complex geometry, is introduced. Under the hypothesis of Pillay's [6] canonical base property, and using results of Chatzidakis [2], it is shown that if a stationary type of finite U-rank at least two is almost internal to a nonmodular minimal type and admits a diagonal section, then it is Moishezon to the set of nonmodular minimal types. This result is inspired by Campana's [1] “first algebraicity criterion” in complex geometry. Other related abstractions from complex geometry, including coreductions and generating fibrations are also discussed.

Mathematics Subject Classification: 03C45, 03C98, 32J27

Keywords and phrases:

Full text: pdf.

Last updated: April 28 2010 14:17 Please send your corrections to: