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Moscow Mathematical Journal, 2017, Volume 17, Number 4, Pages 825–836
DOI: https://doi.org/10.17323/1609-4514-2017-17-4-825-836 (Mi mmj647) 		 
Multiplicities of bifurcation sets of Pham singularities

V. A. Vassilievab

a Steklov Mathematical Institute of Russian Academy of Sciences
b National Research University Higher School of Economics
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DOI: https://doi.org/10.17323/1609-4514-2017-17-4-825-836
Abstract: The local multiplicities of the caustics, the Maxwell sets, and the complex Stokes sets in the spaces of versal deformations of Pham singularities (that is, of germs of holomorphic functions $\mathbb C^n\to\mathbb C$, which are expressed by the sums of degrees of coordinate functions) are calculated.
Key words and phrases: singularity theory, versal deformation, caustic, Maxwell set, Stokes set, morsification, computational complexity.
Funding agency Grant number
Russian Science Foundation 16-11-10316
Research supported by the Russian Science Foundation grant, project 16-11-10316.
Received: January 14, 2017
Bibliographic databases:
Document Type: Article
MSC: 32S30, 14B07, 58K60
Language: English
Citation: V. A. Vassiliev, “Multiplicities of bifurcation sets of Pham singularities”, Mosc. Math. J., 17:4 (2017), 825–836
Citation in format AMSBIB
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\vol 17
\issue 4
\pages 825--836
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