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This article is cited in 17 scientific papers (total in 17 papers)
Universal Abelian Covers of Rational Surface Singularities and Multi-Index Filtrations
S. M. Gusein-Zadea, F. Delgadob, A. Campillob a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Valladolid
Abstract:
In previous papers, the authors computed the Poincaré series of some (multi-index) filtrations on the ring of germs of functions on a rational surface singularity. These Poincaré series were expressed as the integer parts of certain fractional power series, whose interpretation was not given. In this paper, we show that, up to a simple change of variables, these fractional power series are reductions of the equivariant Poincaré series for filtrations on the ring of germs of functions on the universal Abelian cover of the surface. We compute these equivariant Poincaré series.
Keywords:
universal Abelian cover, rational surface singularity, Poincaré series.
Received: 22.10.2007
Citation:
S. M. Gusein-Zade, F. Delgado, A. Campillo, “Universal Abelian Covers of Rational Surface Singularities and Multi-Index Filtrations”, Funktsional. Anal. i Prilozhen., 42:2 (2008), 3–10; Funct. Anal. Appl., 42:2 (2008), 83–88
Linking options:
https://www.mathnet.ru/eng/faa2897https://doi.org/10.4213/faa2897 https://www.mathnet.ru/eng/faa/v42/i2/p3
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Abstract page: | 570 | Full-text PDF : | 221 | References: | 70 | First page: | 17 |
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