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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 56–64 (Mi tm2589)  
This article is cited in 5 scientific papers (total in 5 papers)

Poincaré Series and Monodromy of the Simple and Unimodal Boundary Singularities

W. Ebeling

Institut für Algebraische Geometrie, Leibniz Universität Hannover, Hannover, Germany
Full-text PDF (219 kB) Citations (5)
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Abstract: A boundary singularity is a singularity of a function on a manifold with boundary. The simple and unimodal boundary singularities were classified by V. I. Arnold and V. I. Matov. The McKay correspondence can be generalized to the simple boundary singularities. We consider the monodromy of the simple, parabolic, and exceptional unimodal boundary singularities. We show that the characteristic polynomial of the monodromy is related to the Poincaré series of the coordinate algebra of the ambient singularity.
Received in July 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 50–58
DOI: https://doi.org/10.1134/S008154380904004X
Bibliographic databases:
UDC: 512.774.1
Language: English
Citation: W. Ebeling, “Poincaré Series and Monodromy of the Simple and Unimodal Boundary Singularities”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 56–64; Proc. Steklov Inst. Math., 267 (2009), 50–58
Citation in format AMSBIB
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\paper Poincar\'e Series and Monodromy of the Simple and Unimodal Boundary Singularities
\inbook Singularities and applications
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\vol 267
\pages 56--64
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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