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arXiv · 2312.13782

One-nodal Fano threefolds with Picard number one

Alexander Kuznetsov·Yuri Prokhorov
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Abstract

We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a relation between such degenerations and smooth Fano threefolds of higher Picard rank and with unprojections of complete intersection varieties.

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Alexander Kuznetsov, Yuri Prokhorov. 2023-12-21. One-nodal Fano threefolds with Picard number one. https://arxiv.org/abs/2312.13782

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