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arXiv · 1008.4447

Kodaira Dimension of Fiber Sums along Spheres

Josef G. Dorfmeister
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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.

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Josef G. Dorfmeister. 2010-08-26. Kodaira Dimension of Fiber Sums along Spheres. https://arxiv.org/abs/1008.4447

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