Geodesic
Log canonical thresholds of three-dimensional Fano hypersurfaces
Izvestiya. Mathematics , Tome 73 (2009) no. 4, pp. 727-795

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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, Kähler–Einstein metric.
Mots-clés : Tian's alpha-invariant 
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     author = {I. A. Cheltsov},
     title = {Log canonical thresholds of three-dimensional {Fano} hypersurfaces},
     journal = {Izvestiya. Mathematics },
     pages = {727--795},
     publisher = {mathdoc},
     volume = {73},
     number = {4},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2009_73_4_a4/}
}
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I. A. Cheltsov. Log canonical thresholds of three-dimensional Fano hypersurfaces. Izvestiya. Mathematics , Tome 73 (2009) no. 4, pp. 727-795. http://geodesic.mathdoc.fr/item/IM2_2009_73_4_a4/