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Bibliographic Details
Main Author: Székelyhidi, Gábor
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.14939
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Table of Contents:
  • We study Calabi-Yau metrics on a projective manifold in Kähler classes converging to a semiample class given by a fibration. We show that the Gromov-Hausdorff limit of the metrics is homeomorphic to the base of the fibration and in addition the discriminant locus has Hausdorff codimension at least 2. This resolves conjectures of Tosatti.