On a certain generalization of triangle singularities
Algebraic Geometry
2015-01-29 v1 Rings and Algebras
Abstract
Triangle singularities are Fuchsian singularities associated with von Dyck groups, which are index two subgroups of Schwarz triangle groups. Hypersurface triangle singularities are classified by Dolgachev, and give 14 exceptional unimodal singularities classified by Arnold. We introduce a generalization of triangle singularities to higher dimensions, show that there are only finitely many hypersurface singularities of this type in each dimension, and give a complete list in dimension 3.
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Cite
@article{arxiv.1501.07086,
title = {On a certain generalization of triangle singularities},
author = {Kenji Hashimoto and Hwayoung Lee and Kazushi Ueda},
journal= {arXiv preprint arXiv:1501.07086},
year = {2015}
}
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17 pages