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Funktsional'nyi Analiz i ego Prilozheniya, 2011, Volume 45, Issue 3, Pages 4–15
DOI: https://doi.org/10.4213/faa3048 (Mi faa3048) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On topological invariants of real algebraic functions

V. A. Vassilievab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Mathematical Department of Higher School of Economics
Full-text PDF (240 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3048
Abstract: A natural covering responsible for the complexity of the ramification of roots of the general real polynomial equation is considered, and the homology groups of its base are calculated; for equations of degree ⩽5, a complete description of the topology of this base is given.
Keywords: ramification, discriminant, real algebraic function, Schwarz genus.
Received: 08.05.2011
English version:
Functional Analysis and Its Applications, 2011, Volume 45, Issue 3, Pages 163–172
DOI: https://doi.org/10.1007/s10688-011-0020-y
Bibliographic databases:
Document Type: Article
UDC: 515.16
Language: Russian
Citation: V. A. Vassiliev, “On topological invariants of real algebraic functions”, Funktsional. Anal. i Prilozhen., 45:3 (2011), 4–15; Funct. Anal. Appl., 45:3 (2011), 163–172
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa3048
  • https://doi.org/10.4213/faa3048
  • https://www.mathnet.ru/eng/faa/v45/i3/p4
    • This publication is cited in the following 2 articles:
    1. Chilikov A.A., “Exponential Diophantine Equations in Rings of Positive Characteristic”, J. Knot Theory Ramifications, 29:2, SI (2020), 2040002  crossref  mathscinet  zmath  isi
    2. V. A. Vassiliev, “A few problems on monodromy and discriminants”, Arnold Math. J., 1:2 (2015), 201–209  mathnet  crossref  isi
    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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    Full-text PDF :269
    References:76
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