Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 4, Pages 24–28 (Mi vmumm247)  
Mathematics

Poincaré series of filtration associated with Newton diagram and topological types of singularities

G. D. Solomadin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The Poincaré series of multi-index filtration on the ring of germs defined by S. M. Gusein-Zade and W. Ebeling for the germ of function in terms of its Newton diagram is considered. Examples of functions of two variables are described in the paper. These examples show that the Poincaré series for the germ of function depends not only on the type of the diagram, but also on the germ of the function.
Key words: finite group actions, monodromy zeta-function, monodromy.
Funding agency Grant number
Russian Science Foundation 14-11-00414
Received: 21.05.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 4, Pages 171–175
DOI: https://doi.org/10.3103/S0027132215040038
Bibliographic databases:
Document Type: Article
UDC: 512.772.1
Language: Russian
Citation: G. D. Solomadin, “Poincaré series of filtration associated with Newton diagram and topological types of singularities”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 4, 24–28; Moscow University Mathematics Bulletin, 70:4 (2015), 171–175
Citation in format AMSBIB
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