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Sbornik: Mathematics, 2006, Volume 197, Issue 3, Pages 335–368
DOI: https://doi.org/10.1070/SM2006v197n03ABEH003761 (Mi sm1234) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Birationally rigid varieties with a pencil of Fano double covers. III

A. V. Pukhlikov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (415 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/SM2006v197n03ABEH003761
Abstract: The study of the birational geometry of Fano fibre spaces $\pi\colon V\to\mathbb P^1$ with fibre that is a Fano double hypersurface of index 1 is completed. For each family of these varieties either the birational rigidity is proved or non-trivial structures of Fano fibre spaces are explicitly produced. A new linear method of the study of movable systems on Fano fibre spaces $V/\mathbb P^1$ is developed.
Bibliography: 17 titles.
Received: 26.09.2005
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: 14E05, 14J45
Language: English
Original paper language: Russian
Citation: A. V. Pukhlikov, “Birationally rigid varieties with a pencil of Fano double covers. III”, Sb. Math., 197:3 (2006), 335–368
Citation in format AMSBIB
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\by A.~V.~Pukhlikov
\paper Birationally rigid varieties with a~pencil of Fano double covers.~III
\jour Sb. Math.
\yr 2006
\vol 197
\issue 3
\pages 335--368
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  • https://www.mathnet.ru/eng/sm/v197/i3/p35
    Cycle of papers
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:536
    Russian version PDF:208
    English version PDF:13
    References:70
    First page:3
     
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