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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) Russian version article
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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
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”, Russian Math. Surveys, 65:6 (2010), 1083–1171
Citation in format AMSBIB
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\by A.~V.~Pukhlikov
\paper Birationally rigid varieties. II.~Fano fibre spaces
\jour Russian Math. Surveys
\yr 2010
\vol 65
\issue 6
\pages 1083--1171
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  • https://www.mathnet.ru/eng/rm/v65/i6/p87
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