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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 211–225
DOI: https://doi.org/10.1134/S0371968515030188 (Mi tm3657) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in $\mathbb R^3$

V. A. Vassiliev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (238 kB) Citations (4)
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DOI: https://doi.org/10.1134/S0371968515030188
Abstract: The naturally topologized order complex of proper algebraic subsets in $\mathbb R\mathrm P^2$ defined by systems of quadratic forms has the rational homology of $S^{13}$.
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: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 197–209
DOI: https://doi.org/10.1134/S0081543815060188
Bibliographic databases:
Document Type: Article
UDC: 515.14
Language: Russian
Citation: V. A. Vassiliev, “Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in $\mathbb R^3$”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 211–225; Proc. Steklov Inst. Math., 290:1 (2015), 197–209
Citation in format AMSBIB
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\paper Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in~$\mathbb R^3$
\inbook Modern problems of mathematics, mechanics, and mathematical physics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 290
\pages 211--225
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://doi.org/10.1134/S0371968515030188
  • https://www.mathnet.ru/eng/tm/v290/p211
    • This publication is cited in the following 4 articles:
    1. V. A. Vassiliev, “Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in $\mathbb R^n$”, Dokl. Math., 98:1 (2018), 330–333  mathnet  crossref  crossref  zmath  isi  elib  scopus
    2. V. A. Vassiliev, “Twisted homology of configuration spaces and homology of spaces of equivariant maps”, Dokl. Math., 98:3 (2018), 629–633  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
    3. V. A. Vassiliev, “Stable cohomology of spaces of non-resultant polynomial systems in ${\mathbb R}^3$”, Dokl. Math., 96:3 (2017), 616–619  mathnet  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    4. V. A. Vassiliev, “Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$”, Izv. Math., 80:4 (2016), 791–810  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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