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arXiv · 2101.09787

Collapsing Calabi-Yau fibrations and uniform diameter bounds

Yang Li
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Abstract

As a sequel to \cite{Licollapsing}, we study Calabi-Yau metrics collapsing along a holomorphic fibration over a Riemann surface. Assuming at worst canonical singular fibres, we prove a uniform diameter bound for all fibres in the suitable rescaling. This has consequences on the geometry around the singular fibres.

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Yang Li. 2021-01-24. Collapsing Calabi-Yau fibrations and uniform diameter bounds. https://doi.org/10.2140/gt.2023.27.397

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