Automorphisms of $P_8$ singularities and the complex crystallographic groups
Algebraic Geometry
2010-01-18 v1
Abstract
The paper completes the study of symmetries of parabolic function singularities with relation to complex crystallographic groups that was started in \cite{GM,X9}. We classify smoothable automorphisms of singularities which split the kernel of the intersection form on the second homology. For such automorphisms, the monodromy groups acting on the duals to the eigenspaces with degenerate intersection form are then identified as some of complex affine reflection groups tabled in \cite{P}.
Cite
@article{arxiv.0806.1720,
title = {Automorphisms of $P_8$ singularities and the complex crystallographic groups},
author = {Victor Goryunov and Dmitry Kerner},
journal= {arXiv preprint arXiv:0806.1720},
year = {2010}
}