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Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 1, Pages 30–36
DOI: https://doi.org/10.1070/SM1972v017n01ABEH001489 (Mi sm3144) 		 
This article is cited in 15 scientific papers (total in 16 papers)

Birational properties of a surface of degree 4 in $\mathbf P^4_k$

V. A. Iskovskikh
English version PDF (443 kB) Citations (16) Russian version article
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DOI: https://doi.org/10.1070/SM1972v017n01ABEH001489
Abstract: It is proved that a smooth surface of fourth degree in $\mathbf P^4_k$, defined over a perfect field $k$, is not birationally isomorphic, over $k$, to the projective plane $\mathbf P^2_k$ if it is $k$-minimal.
Bibliography: 5 titles.
Received: 31.03.1971
Bibliographic databases:
Document Type: Article
UDC: 513.015.7
MSC: 14E05, 14J25, 14M20
Language: English
Original paper language: Russian
Citation: V. A. Iskovskikh, “Birational properties of a surface of degree 4 in $\mathbf P^4_k$”, Math. USSR-Sb., 17:1 (1972), 30–36
Citation in format AMSBIB
\Bibitem{Isk72}
\by V.~A.~Iskovskikh
\paper Birational properties of a~surface of degree~4 in~$\mathbf P^4_k$
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 1
\pages 30--36
\mathnet{http://mi.mathnet.ru/eng/sm3144}
\crossref{https://doi.org/10.1070/SM1972v017n01ABEH001489}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=299606}
\zmath{https://zbmath.org/?q=an:0244.14005|0253.14002}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:602
    Russian version PDF:139
    English version PDF:53
    References:107
    First page:2
     
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