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Russian Mathematical Surveys, 2022, Volume 77, Issue 2, Pages 301–354
DOI: https://doi.org/10.1070/RM10039 (Mi rm10039) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Effective results in the theory of birational rigidity

A. V. Pukhlikov

University of Liverpool, Liverpool, UK
English version PDF (825 kB) Citations (1) Russian version article
References:
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DOI: https://doi.org/10.1070/RM10039
Abstract: This paper is a survey of recent effective results in the theory of birational rigidity of higher-dimensional Fano varieties and Fano–Mori fibre spaces.
Bibliography: 59 titles.
Keywords: Fano variety, Mori fibre space, birational map, birational rigidity, linear system, maximal singularity, quadratic singularity, multiquadratic singularity.
Funding agency Grant number
Leverhulme Trust RPG-2016-279
A considerable number of the results discussed in this survey were obtained in the period when the author was supported by the Leverhulme Trust Research Project grant RPG-2016-279.
Received: 29.11.2021
Bibliographic databases:
Document Type: Article
UDC: 512.76
MSC: 14E05
Language: English
Original paper language: Russian
Citation: A. V. Pukhlikov, “Effective results in the theory of birational rigidity”, Russian Math. Surveys, 77:2 (2022), 301–354
Citation in format AMSBIB
\Bibitem{Puk22}
\by A.~V.~Pukhlikov
\paper Effective results in the theory of birational rigidity
\jour Russian Math. Surveys
\yr 2022
\vol 77
\issue 2
\pages 301--354
\mathnet{http://mi.mathnet.ru/eng/rm10039}
\crossref{https://doi.org/10.1070/RM10039}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461369}
\zmath{https://zbmath.org/?q=an:7552947}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022RuMaS..77..301P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000819147400001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85134506348}
Linking options:
  • https://www.mathnet.ru/eng/rm10039
  • https://doi.org/10.1070/RM10039
  • https://www.mathnet.ru/eng/rm/v77/i2/p123
    • This publication is cited in the following 1 articles:
    1. A. V. Pukhlikov, “Birationally rigid hypersurfaces with quadratic singularities of low rank”, Sb. Math., 215:6 (2024), 823–840  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:366
    Russian version PDF:64
    English version PDF:33
    Russian version HTML:168
    References:80
    First page:10
     
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