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arXiv · 2304.10452

On the classification of singular cubic threefolds

Sasha Viktorova
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Abstract

We classify combinations of isolated singularities that can occur on complex cubic threefolds generalizing analogous results for cubic surfaces due to Schl\"{a}fli and Bruce--Wall. In addition, we provide concise combinatorial description of the possible configurations of simple singularities: they essentially correspond to subgraphs of a certain graph.

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Sasha Viktorova. 2023-04-20. On the classification of singular cubic threefolds. https://arxiv.org/abs/2304.10452

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