Trudy Matematicheskogo Instituta imeni V.A. Steklova
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Guidelines for authors License agreement Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Trudy Mat. Inst. Steklova: Year: Volume: Issue: Page: Find

 Trudy Mat. Inst. Steklova, 2015, Volume 290, Pages 211–225 (Mi tm3657)

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

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.

DOI: https://doi.org/10.1134/S0371968515030188

Full text: PDF file (238 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics, 2015, 290:1, 197–209

Bibliographic databases:

UDC: 515.14
Received: March 15, 2015

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
\Bibitem{Vas15} \by V.~A.~Vassiliev \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 \mathnet{http://mi.mathnet.ru/tm3657} \crossref{https://doi.org/10.1134/S0371968515030188} \elib{https://elibrary.ru/item.asp?id=24045405} \transl \jour Proc. Steklov Inst. Math. \yr 2015 \vol 290 \issue 1 \pages 197--209 \crossref{https://doi.org/10.1134/S0081543815060188} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000363268500018} \elib{https://elibrary.ru/item.asp?id=24962307} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944677045} 

• http://mi.mathnet.ru/eng/tm3657
• https://doi.org/10.1134/S0371968515030188
• http://mi.mathnet.ru/eng/tm/v290/p211

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. A. Vassiliev, “Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$”, Izv. Math., 80:4 (2016), 791–810
2. V. A. Vassiliev, “Stable cohomology of spaces of non-resultant polynomial systems in ${\mathbb R}^3$”, Dokl. Math., 96:3 (2017), 616–619
3. 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
4. V. A. Vassiliev, “Twisted homology of configuration spaces and homology of spaces of equivariant maps”, Dokl. Math., 98:3 (2018), 629–633
•  Number of views: This page: 167 Full text: 21 References: 38

 Contact us: math-net2021_10 [at] mi-ras ru Terms of Use Registration to the website Logotypes © Steklov Mathematical Institute RAS, 2021