Geodesic
Extremal Metrics on del Pezzo Threefolds
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 37-51.

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We prove the existence of Kähler–Einstein metrics on a nonsingular section of the Grassmannian $\mathrm{Gr}(2,5)\subset\mathbb P^9$ by a linear subspace of codimension 3 and on the Fermat hypersurface of degree 6 in $\mathbb P(1,1,1,2,3)$. We also show that a global log canonical threshold of the Mukai–Umemura variety is equal to 1/2. 
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I. A. Cheltsov; K. A. Shramov. Extremal Metrics on del Pezzo Threefolds. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 37-51. http://geodesic.mathdoc.fr/item/TM_2009_264_a3/

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