The Kodaira Dimension of Lefschetz Fibrations
Symplectic Geometry
2010-08-27 v2 Algebraic Geometry
Abstract
In this note, we verify that the complex Kodaira dimension equals the symplectic Kodaira dimension for smooth 4-manifolds with complex and symplectic structures. We also calculate the Kodaira dimension for many Lefschetz fibrations.
Cite
@article{arxiv.0809.4861,
title = {The Kodaira Dimension of Lefschetz Fibrations},
author = {Josef G Dorfmeister and Weiyi Zhang},
journal= {arXiv preprint arXiv:0809.4861},
year = {2010}
}
Comments
20 pages, corrected typos and included suggestions made by the referees. To appear in Asian J. of Mathematics