Kodaira Dimension of Fiber Sums along Spheres
Symplectic Geometry
2010-08-27 v1 Algebraic Geometry
Abstract
In this note we discuss the effect of the symplectic sum along spheres in symplectic four-manifolds on the Kodaira dimension of the underlying symplectic manifold. We find that the Kodaira dimension is non-decreasing. Moreover, we are able to obtain precise results on the structure of the manifold obtained from the blow down of an embedded symplectic -4-sphere.
Cite
@article{arxiv.1008.4447,
title = {Kodaira Dimension of Fiber Sums along Spheres},
author = {Josef G. Dorfmeister},
journal= {arXiv preprint arXiv:1008.4447},
year = {2010}
}
Comments
26 pages, 1 table