Kodaira Dimension of Fiber Sums along Spheres

Details Kodaira Dimension of Fiber Sums along Spheres Kodaira Dimension of Fiber Sums along Spheres

2010-08-26

arxiv.org/abs/1008.4447v1

Mathematics

Symplectic Geometry

26 pages, 1 table

Scientific paper

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.

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