On the classification of singular cubic threefolds

Published 20 Apr 2023 in math.AG | (2304.10452v2)

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

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