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arXiv · 2212.13862

On toric Fano fibrations

Florin Ambro
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Abstract

A. Borisov classified into finitely many series the set of isomorphism classes of germs of toric $\Q$-factorial singularities, of fixed dimension and with minimal log discrepancy over the special point bounded from below by a fixed real number. We extend this classification to germs of toric Fano fibrations, possibly not $\Q$-factorial. As an application, we verify in the toric setting a conjecture proposed by V. V. Shokurov on the existence of bounded complements.

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Florin Ambro. 2022-12-28. On toric Fano fibrations. https://arxiv.org/abs/2212.13862

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