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VOL. 43 | 2006 The complex crystallographic groups and symmetries of $J_{10}$
Victor Goryunov, Show Han Man

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Hiroo Tokunaga, Ichiro Shimada, Takasi Sano

Abstract

We show that finite order symmetries of the function singularity $J_{10}$ give rise to some of complex crystallographic groups listed in [12]. The groups are extracted from the equivariant monodromy of the function. This is the first appearance of affine reflection groups in a singularity context.

Information

Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1130.32012
MathSciNet: MR2313408

Digital Object Identifier: 10.2969/aspm/04310055

Rights: Copyright © 2006 Mathematical Society of Japan

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