On the classification of singular cubic threefolds
Algebraic Geometry
2024-05-07 v2
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.
Keywords
Cite
@article{arxiv.2304.10452,
title = {On the classification of singular cubic threefolds},
author = {Sasha Viktorova},
journal= {arXiv preprint arXiv:2304.10452},
year = {2024}
}
Comments
28 pages, 10 figures, 9 tables; comments welcome! v2: corrected typos, minor edits, added Def. 1.12