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Izvestiya: Mathematics, 2016, Volume 80, Issue 4, Pages 791–810
DOI: https://doi.org/10.1070/IM8334 (Mi im8334) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$

V. A. Vassiliev

Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (411 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM8334
Abstract: We calculate the rational homology groups of spaces of non-resultant (that is, having no non-trivial common zeros) systems of homogeneous quadratic polynomials in $\mathbb R^3$.
Keywords: resultant, cohomology, simplicial resolution, configuration space.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 28.12.2014
Revised: 14.10.2015
Bibliographic databases:
Document Type: Article
UDC: 515.164+512.73
MSC: 14P25
Language: English
Original paper language: Russian
Citation: V. A. Vassiliev, “Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$”, Izv. Math., 80:4 (2016), 791–810
Citation in format AMSBIB
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\by V.~A.~Vassiliev
\paper Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$
\jour Izv. Math.
\yr 2016
\vol 80
\issue 4
\pages 791--810
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Linking options:
  • https://www.mathnet.ru/eng/im8334
  • https://doi.org/10.1070/IM8334
  • https://www.mathnet.ru/eng/im/v80/i4/p163
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:501
    Russian version PDF:45
    English version PDF:8
    References:48
    First page:27
     
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