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arXiv · 2302.08352

Locally stable degenerations of log Calabi-Yau pairs

Junpeng Jiao
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Abstract

We study the birational boundedness of special fibers of log Calabi-Yau fibrations and Fano fibrations. We show that for a locally stable family of Fano varieties or polarised log Calabi-Yau pairs over a curve, if the general fiber satisfies some natural boundedness conditions, then every irreducible component of the special fiber is birationally bounded.

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Junpeng Jiao. 2023-02-16. Locally stable degenerations of log Calabi-Yau pairs. https://arxiv.org/abs/2302.08352

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