The Kodaira Dimension of Lefschetz Fibrations

preprint2009arXivOpen access

In this note, we verify that the complex Kodaira dimension $κ^h$ equals the symplectic Kodaira dimension $κ^s$ for smooth 4-manifolds with complex and symplectic structures. We also calculate the Kodaira dimension for many Lefschetz fibrations.

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The Kodaira Dimension of Lefschetz Fibrations

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