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Sbornik: Mathematics, 2000, Volume 191, Issue 9, Pages 1399–1419
DOI: https://doi.org/10.1070/sm2000v191n09ABEH000511 (Mi sm511) 		 
This article is cited in 29 scientific papers (total in 29 papers)

On a smooth quintic 4-fold

I. A. Cheltsov
English version PDF (230 kB) Citations (29) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n09ABEH000511
Abstract: The birational geometry of an arbitrary smooth quintic 4-fold is studied using the properties of log pairs. As a result, a new proof of its birational rigidity is given and all birational maps of a smooth quintic 4-fold into fibrations with general fibre of Kodaira dimension zero are described.
In the Addendum similar results are obtained for all smooth hypersurfaces of degree $n$ in $\mathbb P^n$ in the case of $n$ equal to 6, 7, or 8.
Received: 10.06.1999 and 19.01.2000
Bibliographic databases:
UDC: 513.6
MSC: 14J35, 14E05
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “On a smooth quintic 4-fold”, Sb. Math., 191:9 (2000), 1399–1419
Citation in format AMSBIB
\Bibitem{Che00}
\by I.~A.~Cheltsov
\paper On a smooth quintic 4-fold
\jour Sb. Math.
\yr 2000
\vol 191
\issue 9
\pages 1399--1419
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\crossref{https://doi.org/10.1070/sm2000v191n09ABEH000511}
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\zmath{https://zbmath.org/?q=an:0998.14018}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0034354986}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:10
    References:55
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