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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 2, Pages 3–10
DOI: https://doi.org/10.4213/faa2897
(Mi faa2897)
 

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
References:
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
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 2, Pages 83–88
DOI: https://doi.org/10.1007/s10688-008-0013-7
Bibliographic databases:
Document Type: Article
UDC: 512.774.1
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa/v42/i2/p3
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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