On the classification of singular cubic threefolds

Fuente: arXiv
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Main Author: Viktorova, Sasha
Format: Preprint
Published: 2023
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author Viktorova, Sasha
author_facet Viktorova, Sasha
contents 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 addition, we provide concise combinatorial description of the possible configurations of simple singularities: they essentially correspond to subgraphs of a certain graph.
format Preprint
id arxiv_https___arxiv_org_abs_2304_10452
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the classification of singular cubic threefolds
Viktorova, Sasha
Algebraic Geometry
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 addition, we provide concise combinatorial description of the possible configurations of simple singularities: they essentially correspond to subgraphs of a certain graph.
title On the classification of singular cubic threefolds
topic Algebraic Geometry
url https://arxiv.org/abs/2304.10452