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This article is cited in 5 scientific papers (total in 5 papers)
Log canonical thresholds of three-dimensional Fano hypersurfaces
I. A. Cheltsov
Steklov Mathematical Institute, Russian Academy of Sciences
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.
DOI:
https://doi.org/10.4213/im2714
 Full text:
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English version:
Izvestiya: Mathematics, 2009, 73:4, 727–795
Bibliographic databases:
     
UDC:
512.7
MSC: 14J45, 14E07, 14J17, 14J30, 14B05, 32Q20
Received: 06.08.2007
Revised: 25.01.2008
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
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http://mi.mathnet.ru/eng/izv2714https://doi.org/10.4213/im2714 http://mi.mathnet.ru/eng/izv/v73/i4/p77
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This publication is cited in the following articles:
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Pukhlikov V A., “Canonical and Log Canonical Thresholds of Multiple Projective Spaces”, Eur. J. Math.
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Kim I.-K., Okada T., Won J., “Alpha Invariants of Birationally Bi-Rigid Fano 3-Folds i”, Eur. J. Math.
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Pukhlikov A.V., “Canonical and Log Canonical Thresholds of Fano Complete Intersections”, Eur. J. Math., 4:1, 1, SI (2018), 381–398
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Cheltsov I. Parka J. Shramov C., “Alpha-Invariants and Purely Log Terminal Blow-Ups”, Eur. J. Math., 4:3, 2, SI (2018), 845–858
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Cheltsov I., Dubouloz A., Park J., “Super-Rigid Affine Fano Varieties”, Compos. Math., 154:11 (2018), 2462–2484
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