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Russian Mathematical Surveys, 2010, Volume 65, Issue 6, Pages 1083–1171
DOI: https://doi.org/10.1070/RM2010v065n06ABEH004716 (Mi rm9368) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Birationally rigid varieties. II. Fano fibre spaces

A. V. Pukhlikovab

a Steklov Mathematical Institute, Russian Academy of Sciences
b The University of Liverpool, UK
English version PDF (1033 kB) Citations (1)
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DOI: https://doi.org/10.1070/RM2010v065n06ABEH004716
Abstract: This paper gives a survey of the modern theory of birational rigidity for Fano fibre spaces over a base of positive dimension. It is a sequel to a previous survey on birational rigidity of Fano varieties. Here techniques of the method of maximal singularities are described for Fano fibre spaces.
Bibliography: 53 titles.
Keywords: Fano variety, Fano fibre space, birational rigidity, fibrewise modification, maximal singularity.
Received: 17.12.2009
Russian version:
Uspekhi Matematicheskikh Nauk, 2010, Volume 65, Issue 6(396), Pages 87–180
DOI: https://doi.org/10.4213/rm9368
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14E05, 14J40, 14J45
Language: English
Original paper language: Russian
Citation: A. V. Pukhlikov, “Birationally rigid varieties. II. Fano fibre spaces”, Uspekhi Mat. Nauk, 65:6(396) (2010), 87–180; Russian Math. Surveys, 65:6 (2010), 1083–1171
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/rm/v65/i6/p87
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    This publication is cited in the following 1 articles:
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    Russian version PDF:293
    English version PDF:14
    References:50
    First page:11
     
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