Automorphisms of P 8 singularities and the complex crystallographic groups

Victor Goryunov, Dmitry Kerner

Research output: Contribution to journalArticlepeer-review

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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 by the first co-author and his collaborator. We classify smoothable automorphisms of P8 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 by V. L. Popov.

Original languageEnglish
Pages (from-to)91-103
Number of pages13
JournalProceedings of the Steklov Institute of Mathematics
Volume267
Issue number1
DOIs
StatePublished - 1 Dec 2009

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