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arXiv · 0806.1720

Automorphisms of $P_8$ singularities and the complex crystallographic groups

Victor Goryunov·Dmitry Kerner
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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 $P_8$ 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}.

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Victor Goryunov, Dmitry Kerner. 2008-06-10. Automorphisms of $P_8$ singularities and the complex crystallographic groups. https://arxiv.org/abs/0806.1720

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