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math.AG2023★ 2 cited
The defect of a cubic threefold and applications to intermediate Jacobian fibrations
Lisa Marquand, Sasha Viktorova
The defect of a cubic threefold with isolated singularities is a global invariant that measures the failure of -factoriality. We compute the defect for such cubics…
math.AG2023★ 2 cited
On the classification of singular cubic threefolds
Sasha Viktorova
We classify combinations of isolated singularities that can occur on complex cubic threefolds generalizing analogous results for cubic surfaces due to Schläfli and Bruce--Wall. In…