Russian Academy of Sciences. Izvestiya Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
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


Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 1, Pages 141–160
DOI: https://doi.org/10.1070/IM1994v043n01ABEH001554
(Mi im863)
 

This article is cited in 12 scientific papers (total in 12 papers)

Algebraic cycles on a real algebraic GM-manifold and their applications

V. A. Krasnov
References:
Abstract: For an algebraic cycle $Y\in A_k(X)$ on a real algebraic $\operatorname{GM}$-manifold $X$, the relationship between the homology classes $[Y(\mathbf C)]\in H_{2k}(X(\mathbf C),\mathbf Z)$ and $[Y(\mathbf R)]\in H_k(X(\mathbf R),\mathbf F_2)$ is studied. It is shown that similar relations hold for smooth cycles on a $\operatorname{GM}$-surface. The results are applied to prove congruences for the Euler characteristic of the set $X(\mathbf R)$.
Received: 20.05.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 4, Pages 153–173
Bibliographic databases:
UDC: 513.6+517.6
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Algebraic cycles on a real algebraic GM-manifold and their applications”, Izv. RAN. Ser. Mat., 57:4 (1993), 153–173; Russian Acad. Sci. Izv. Math., 43:1 (1994), 141–160
Citation in format AMSBIB
\Bibitem{Kra93}
\by V.~A.~Krasnov
\paper Algebraic cycles on a real algebraic GM-manifold and their applications
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 4
\pages 153--173
\mathnet{http://mi.mathnet.ru/im863}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243357}
\zmath{https://zbmath.org/?q=an:0838.14044}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..43..141K}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 1
\pages 141--160
\crossref{https://doi.org/10.1070/IM1994v043n01ABEH001554}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PQ58000009}
Linking options:
  • https://www.mathnet.ru/eng/im863
  • https://doi.org/10.1070/IM1994v043n01ABEH001554
  • https://www.mathnet.ru/eng/im/v57/i4/p153
  • This publication is cited in the following 12 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:301
    Russian version PDF:79
    English version PDF:14
    References:44
    First page:3
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024