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Matematicheskie Zametki, 2000, Volume 68, Issue 5, Pages 771–782
DOI: https://doi.org/10.4213/mzm997 (Mi mzm997) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On Rational Connectedness

V. V. Shokurov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (240 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm997
Abstract: The work is devoted to presenting a proof of one of the most important theorems in the birational geometry of Fano varieties.
Received: 25.05.1997
Revised: 04.02.1999
English version:
Mathematical Notes, 2000, Volume 68, Issue 5, Pages 652–660
DOI: https://doi.org/10.1023/A:1026631926763
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: V. V. Shokurov, “On Rational Connectedness”, Mat. Zametki, 68:5 (2000), 771–782; Math. Notes, 68:5 (2000), 652–660
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm997
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  • https://www.mathnet.ru/eng/mzm/v68/i5/p771
    • This publication is cited in the following 10 articles:
    1. Gongyo Y., Nakamura Yu., Tanaka H., “Rational Points on Log Fano Threefolds Over a Finite Field”, J. Eur. Math. Soc., 21:12 (2019), 3759–3795  crossref  mathscinet  isi
    2. Chen Y., Shokurov V., “Strong Rational Connectedness of Toric Varieties”, Math. Res. Lett., 18:6 (2011), 1227–1237  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    3. Chen M., “On Pluricanonical Systems of Algebraic Varieties of General Type”, Algebraic Geometry in East Asia - Seoul 2008, Advanced Studies in Pure Mathematics, 60, eds. Keum J., Kondo S., Konno K., Oguiso K., Math Soc Japan, 2010, 215–236  mathscinet  zmath  isi
    4. Chen, M, “Complex projective 3-fold with non-negative canonical Euler-Poincaré characteristic”, Communications in Analysis and Geometry, 16:1 (2008), 159  crossref  mathscinet  isi  scopus  scopus
    5. Chen, M, “Characterization of the 4-canonical birationality of algebraic threefolds”, Mathematische Zeitschrift, 258:3 (2008), 565  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    6. Hacon, CD, “On Shokurovs rational connectedness conjecture”, Duke Mathematical Journal, 138:1 (2007), 119  crossref  mathscinet  zmath  isi  scopus  scopus
    7. Chen, M, “On the geography of Gorenstein minimal 3-folds of general type”, Asian Journal of Mathematics, 10:4 (2006), 757  crossref  mathscinet  zmath  isi  scopus  scopus
    8. Cheltsov, I, “Weighted Fano threefold hypersurfaces”, Journal fur Die Reine und Angewandte Mathematik, 600 (2006), 81  crossref  mathscinet  zmath  isi  scopus  scopus
    9. I. A. Cheltsov, “Birationally rigid Fano varieties”, Russian Math. Surveys, 60:5 (2005), 875–965  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. Proc. Steklov Inst. Math., 240 (2003), 75–213  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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