Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 12, Pages 59–63 (Mi ivm8406)  
This article is cited in 2 scientific papers (total in 2 papers)

Enumeration of quadrics of projective spaces over local rings

O. A. Starikova, A. V. Svistunova

Chair of Algebra and Geometry, North-Eastern State University, Magadan, Russia
Full-text PDF (169 kB) Citations (2)
References:
PDF
HTML
Abstract: In the paper in Comm. Algebra 36, 1426–1436 (2008), using integral representation methods for combinatorial sums, G. P. Egorychev and E. V. Zima have obtained simple formulas for the number of classes of projectively congruent quadrics and posed a question on an algebraic proof and an interpretation of the obtained formulas. The goal of this paper is to give an answer to this question.
Keywords: projective space, local ring, quadrics, symmetric forms, projective congruence.
Received: 07.12.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 12, Pages 48–51
DOI: https://doi.org/10.3103/S1066369X11120073
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: O. A. Starikova, A. V. Svistunova, “Enumeration of quadrics of projective spaces over local rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12, 59–63; Russian Math. (Iz. VUZ), 55:12 (2011), 48–51
Citation in format AMSBIB
\Bibitem{StaSvi11}
\by O.~A.~Starikova, A.~V.~Svistunova
\paper Enumeration of quadrics of projective spaces over local rings
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 12
\pages 59--63
\mathnet{http://mi.mathnet.ru/ivm8406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963464}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 12
\pages 48--51
\crossref{https://doi.org/10.3103/S1066369X11120073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856237090}
Linking options:
  • https://www.mathnet.ru/eng/ivm8406
  • https://www.mathnet.ru/eng/ivm/y2011/i12/p59
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025