Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Mathematical Surveys, 2005, Volume 60, Issue 5, Pages 875–965
DOI: https://doi.org/10.1070/RM2005v060n05ABEH003736 (Mi rm1643) 		 
This article is cited in 50 scientific papers (total in 50 papers)

Birationally rigid Fano varieties

I. A. Cheltsov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (1050 kB) Citations (50) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2005v060n05ABEH003736
Abstract: The birational superrigidity and, in particular, the non-rationality of a smooth three-dimensional quartic was proved by V. Iskovskikh and Yu. Manin in 1971, and this led immediately to a counterexample to the three-dimensional Lüroth problem. Since then, birational rigidity and superrigidity have been proved for a broad class of higher-dimensional varieties, among which the Fano varieties occupy the central place. The present paper is a survey of the theory of birationally rigid Fano varieties.
Received: 23.06.2005
Bibliographic databases:
Document Type: Article
UDC: 512.76
MSC: Primary 14J45, 14E05, 14E30; Secondary 14G22, 14J30, 14E07, 14M20, 14M10
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “Birationally rigid Fano varieties”, Russian Math. Surveys, 60:5 (2005), 875–965
Citation in format AMSBIB
\Bibitem{Che05}
\by I.~A.~Cheltsov
\paper Birationally rigid Fano varieties
\jour Russian Math. Surveys
\yr 2005
\vol 60
\issue 5
\pages 875--965
\mathnet{http://mi.mathnet.ru//eng/rm1643}
\crossref{https://doi.org/10.1070/RM2005v060n05ABEH003736}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2195677}
\zmath{https://zbmath.org/?q=an:1145.14032}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005RuMaS..60..875C}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000235973500003}
\elib{https://elibrary.ru/item.asp?id=25787219}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33644964853}
Linking options:
  • https://www.mathnet.ru/eng/rm1643
  • https://doi.org/10.1070/RM2005v060n05ABEH003736
  • https://www.mathnet.ru/eng/rm/v60/i5/p71
    • This publication is cited in the following 50 articles:
    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:812
    Russian version PDF:317
    English version PDF:25
    References:88
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024