Model theory and Kaehler geometry
Logic
2007-05-23 v1 Algebraic Geometry
Complex Variables
Abstract
We survey and explain some recent work at the intersection of model theory and bimeromorphic geometry (classification of compact complex manifolds). Included here are the essential saturation of the many sorted structure of compact Kaehler manifolds, the conjectural role of hyperkaehler manifolds in the description of strongly minimal sets in and Campana's work on the isotriviality of hyperkaehler families and its connection with the nonmultidimensionality conjecture.
Cite
@article{arxiv.math/0702468,
title = {Model theory and Kaehler geometry},
author = {Rahim Moosa and Anand Pillay},
journal= {arXiv preprint arXiv:math/0702468},
year = {2007}
}