Multiple fibers of holomorphic Lagrangian fibrations
classification
🧮 math.AG
math.CV
keywords
fibersholomorphiclagrangianmultiplicitiespossibleassumptioncharacteristicclass
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We determine all possible multiplicities of general singular fibers of a holomorphic Lagrangian fibration, under the assumption that all components of the fibers are of Fujiki class. The multiplicities are at most 6 and the possible values are intricately related to the Kodaira type of the characteristic cycle.
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