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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)
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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
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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:
    1. Kaveh K., Khovanskii A.G., “Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory”, Ann. of Math. (2), 176:2 (2012), 925–978  crossref  mathscinet  zmath  isi  scopus
    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
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    Abstract page:675
    Full-text PDF :252
    References:71
    First page:50
     
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