The Kodaira Dimension of Lefschetz Fibrations
classification
🧮 math.SG
math.AG
keywords
dimensionkodairacomplexfibrationskappalefschetzsymplecticcalculate
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In this note, we verify that the complex Kodaira dimension $\kappa^h$ equals the symplectic Kodaira dimension $\kappa^s$ for smooth 4-manifolds with complex and symplectic structures. We also calculate the Kodaira dimension for many Lefschetz fibrations.
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