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arXiv · 2505.14939

Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations

Gábor Székelyhidi
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Abstract

We study Calabi-Yau metrics on a projective manifold in K\"ahler 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.

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BibTeXRIS

Gábor Székelyhidi. 2025-05-20. Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations. https://arxiv.org/abs/2505.14939

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