Geodesic
Extremal metrics on two Fano varieties
Sbornik. Mathematics, Tome 200 (2009) no. 1, pp. 95-132 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, log-canonical threshold
Mots-clés : Kähler-Einstein metric, Tian alpha-invariant. 
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I. A. Cheltsov. Extremal metrics on two Fano varieties. Sbornik. Mathematics, Tome 200 (2009) no. 1, pp. 95-132. http://geodesic.mathdoc.fr/item/SM_2009_200_1_a3/

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