Abstract
We study cusp singularities from the viewpoint of locally polyhedral sets and reflection groups. Following the definition of quasi-polyhedral sets by Grünbaum, we consider a special kind of rational quasi-polyhedral sets with group action and refer to the relation with cusp singularities. We give also some examples of such quasi-polyhedral sets by using discrete groups generated by reflections.
Information
Published: 1 January 2017
First available in Project Euclid: 21 September 2018
zbMATH: 1396.14046
MathSciNet: MR3793365
Digital Object Identifier: 10.2969/aspm/07510163
Subjects:
Primary:
14M25
Secondary:
20F55
,
52B20
Keywords:
cusp singularity
,
lattice polytope
,
Reflection group
,
toric variety
Rights: Copyright © 2017 Mathematical Society of Japan
