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Sbornik: Mathematics, 2009, Volume 200, Issue 1, Pages 95–132
DOI: https://doi.org/10.1070/SM2009v200n01ABEH003988 (Mi sm4519) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Extremal metrics on two Fano varieties

I. A. Cheltsov

University of Edinburgh
English version PDF (479 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2009v200n01ABEH003988
Abstract: We prove the existence of an orbifold Kähler-Einstein metric on a general hypersurface in $\mathbb P(1^3,2,2)$ of degree 6 and a general hypersurface in $\mathbb P(1^3,2,3)$ of degree 7.
Bibliography: 50 titles.
Keywords: Fano varieties, Kähler-Einstein metric, log-canonical threshold, Tian alpha-invariant.
Received: 07.02.2008 and 04.04.2008
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 1, Pages 97–136
DOI: https://doi.org/10.4213/sm4519
Bibliographic databases:
UDC: 512.7
MSC: Primary 14J45, 32Q20; Secondary 14J17
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “Extremal metrics on two Fano varieties”, Mat. Sb., 200:1 (2009), 97–136; Sb. Math., 200:1 (2009), 95–132
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Russian version PDF:185
    English version PDF:11
    References:55
    First page:9
     
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