Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2011, Volume 45, Issue 4, Pages 82–94
DOI: https://doi.org/10.4213/faa3044 (Mi faa3044) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Intersection theory and Hilbert function

A. G. Khovanskiiabc

a The University of Toronto, Toronto, Canada
b Institute of Systems Analysis of Russian Academy of Sciences
c Independent University of Moscow
Full-text PDF (228 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3044
Abstract: Birationally invariant intersection theory is a far-reaching generalization and extension of the Bernstein–Kushnirenko theorem. This paper presents transparent proofs of Hilbert's theorem on the degree of a projective variety and other related statements playing an important role in this theory. The paper is completely self-contained; we recall all necessary definitions and statements.
Keywords: degree of projective variety, Hilbert function, intersection theory, Bernstein–Kushnirenko theorem.
Received: 07.12.2010
English version:
Functional Analysis and Its Applications, 2011, Volume 45, Issue 4, Pages 305–315
DOI: https://doi.org/10.1007/s10688-011-0033-6
Bibliographic databases:
Document Type: Article
UDC: 512.761+515.171.3
Language: Russian
Citation: A. G. Khovanskii, “Intersection theory and Hilbert function”, Funktsional. Anal. i Prilozhen., 45:4 (2011), 82–94; Funct. Anal. Appl., 45:4 (2011), 305–315
Citation in format AMSBIB
\Bibitem{Kho11}
\by A.~G.~Khovanskii
\paper Intersection theory and Hilbert function
\jour Funktsional. Anal. i Prilozhen.
\yr 2011
\vol 45
\issue 4
\pages 82--94
\mathnet{http://mi.mathnet.ru/faa3044}
\crossref{https://doi.org/10.4213/faa3044}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2961483}
\zmath{https://zbmath.org/?q=an:1271.13033}
\elib{https://elibrary.ru/item.asp?id=20730636}
\transl
\jour Funct. Anal. Appl.
\yr 2011
\vol 45
\issue 4
\pages 305--315
\crossref{https://doi.org/10.1007/s10688-011-0033-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298226300008}
\elib{https://elibrary.ru/item.asp?id=18120596}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83455260475}
Linking options:
  • https://www.mathnet.ru/eng/faa3044
  • https://doi.org/10.4213/faa3044
  • https://www.mathnet.ru/eng/faa/v45/i4/p82
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:624
    Full-text PDF :235
    References:59
    First page:50
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024