|
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
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
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
Linking options:
https://www.mathnet.ru/eng/tm2589 https://www.mathnet.ru/eng/tm/v267/p56
|
Statistics & downloads: |
Abstract page: | 288 | Full-text PDF : | 61 | References: | 66 |
|