Collapsing Calabi–Yau fibrations and uniform diameter bounds

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Geometry & Topology

سال: 2023

ISSN: ['1364-0380', '1465-3060']

DOI: https://doi.org/10.2140/gt.2023.27.397