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Izvestiya: Mathematics, 2009, Volume 73, Issue 4, Pages 727–795
DOI: https://doi.org/10.1070/IM2009v073n04ABEH002464 (Mi im2714) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Log canonical thresholds of three-dimensional Fano hypersurfaces

I. A. Cheltsov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (658 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM2009v073n04ABEH002464
Abstract: We study global log canonical thresholds of generic hypersurfaces in $\mathbb{P}(1,a_{1},a_{2},a_{3},a_{4})$ of degree $\sum_{i=1}^{4}a_{i}$ that have at most terminal singularities.
Keywords: Fano variety, log canonical threshold, Tian's alpha-invariant, Kähler–Einstein metric.
Received: 06.08.2007
Revised: 25.01.2008
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2009, Volume 73, Issue 4, Pages 77–152
DOI: https://doi.org/10.4213/im2714
Bibliographic databases:
UDC: 512.7
MSC: 14J45, 14E07, 14J17, 14J30, 14B05, 32Q20
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “Log canonical thresholds of three-dimensional Fano hypersurfaces”, Izv. RAN. Ser. Mat., 73:4 (2009), 77–152; Izv. Math., 73:4 (2009), 727–795
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
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    English version PDF:12
    References:64
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