Special Kähler geometry and holomorphic Lagrangian fibrations

Given a holomorphic Lagrangian fibration of a compact hyperkähler manifold, we use the differential geometry of the special Kähler metric that exists on the base away from the discriminant locus, and show that the pullback of the tangent bundle of the base to the total space of a family of minimal r...

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Bibliographic Details
Main Authors: Li, Yang, Tosatti, Valentino
Format: Article
Language:English
Published: Académie des sciences 2024-06-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.629/
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