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arXiv · 2208.10372

On multiplicities of fibers of Fano fibrations

Guodu Chen·Chuyu Zhou
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Abstract

In this note, we reduce various conjectures in birational geometry, including Shokurov conjecture on singularities of the base of log Calabi-Yau fibrations of Fano type and boundedness conjecture for rationally connected Calabi-Yau varieties, to a conjecture on multiplicities of fibers of Fano fibrations over curves.

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Guodu Chen, Chuyu Zhou. 2022-08-22. On multiplicities of fibers of Fano fibrations. https://arxiv.org/abs/2208.10372

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