RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izv. RAN. Ser. Mat., 2011, Volume 75, Issue 2, Pages 151–176 (Mi izv4072)  
This article is cited in 1 scientific paper (total in 1 paper)

Real four-dimensional biquadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University

Abstract: We consider intersections of two real five-dimensional quadrics, which are referred to for brevity as real four-dimensional biquadrics. Their rigid isotopy classes were described long ago: there are 16 such classes. We prove that the rigid isotopy class of a non-singular real four-dimensional biquadric is uniquely determined by the topological type of its real part. To do this, we calculate the dimensions of the cohomology spaces of the real part of a four-dimensional biquadric.

Keywords: biquadrics, rigid isotopy classes, coarse isotopy classes, index function.

DOI: https://doi.org/10.4213/im4072

Full text: PDF file (607 kB)
References: PDF file   HTML file

English version:
Izvestiya: Mathematics, 2011, 75:2, 371–394

Bibliographic databases:

UDC: 512.7
MSC: 14P25, 14N25
Received: 11.01.2009
Revised: 16.03.2009

Citation: V. A. Krasnov, “Real four-dimensional biquadrics”, Izv. RAN. Ser. Mat., 75:2 (2011), 151–176; Izv. Math., 75:2 (2011), 371–394

Citation in format AMSBIB
\Bibitem{Kra11}
\by V.~A.~Krasnov
\paper Real four-dimensional biquadrics
\jour Izv. RAN. Ser. Mat.
\yr 2011
\vol 75
\issue 2
\pages 151--176
\mathnet{http://mi.mathnet.ru/izv4072}
\crossref{https://doi.org/10.4213/im4072}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2830245}
\zmath{https://zbmath.org/?q=an:1256.14063}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2011IzMat..75..371K}
\elib{http://elibrary.ru/item.asp?id=20358787}
\transl
\jour Izv. Math.
\yr 2011
\vol 75
\issue 2
\pages 371--394
\crossref{https://doi.org/10.1070/IM2011v075n02ABEH002537}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000289889000006}
\elib{http://elibrary.ru/item.asp?id=18008188}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053545675}


Linking options:
  • http://mi.mathnet.ru/eng/izv4072
  • https://doi.org/10.4213/im4072
  • http://mi.mathnet.ru/eng/izv/v75/i2/p151

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    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. Krasnov, “On intersections of two real quadrics”, Izv. Math., 82:1 (2018), 91–139  mathnet  crossref  crossref  adsnasa  isi  elib
    		• Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Number of views:
    This page:298
    Full text:75
    References:27
    First page:7
     
    Contact us:
    		  Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019