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Sbornik: Mathematics, 2002, Volume 193, Issue 10, Pages 1443–1468
DOI: https://doi.org/10.1070/SM2002v193n10ABEH000685 (Mi sm685) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Generalized Tsen's theorem and rationally connected Fano fibrations

F. Campanaa, Th. Peternellb, A. V. Pukhlikovc

a Université de Nantes, Département de Mathématiques
b Universität Bayreuth
c Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (340 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2002v193n10ABEH000685
Abstract: The existence is proved and an explicit algebraic description is given for sections of a fibration $X/C$ over a curve $C$ whose general fibre is a Fano complete intersection in a product of weighted projective spaces. It is proved also that a fibration $X/\mathbb P^1$ whose general fibre is a smooth Fano threefold is rationally connected.
Received: 17.01.2002
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 10, Pages 49–74
DOI: https://doi.org/10.4213/sm685
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: 14D06, 14J45
Language: English
Original paper language: Russian
Citation: F. Campana, Th. Peternell, A. V. Pukhlikov, “Generalized Tsen's theorem and rationally connected Fano fibrations”, Mat. Sb., 193:10 (2002), 49–74; Sb. Math., 193:10 (2002), 1443–1468
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:216
    English version PDF:11
    References:74
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