Finiteness of Lagrangian fibrations with fixed invariants
classification
🧮 math.AG
math.DG
keywords
fibrationsfinitenessfixedlagrangianproveahleramplebeauville-bogomolov-fujiki
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We prove finiteness of hyperkaehler Lagrangian fibrations in any fixed dimension with fixed Fujiki constant and discriminant of the Beauville-Bogomolov-Fujiki lattice, up to deformation. We also prove finiteness of hyperk\"ahler Lagrangian fibrations with an ample line bundle of a given degree on the general fiber of the fibration.
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