Extremal Metrics on Del Pezzo Threefolds
نویسنده
چکیده
X iv :0 81 0. 19 24 v3 [ m at h. A G ] 7 F eb 2 00 9 EXTREMAL METRICS ON DEL PEZZO THREEFOLDS IVAN CHELTSOV AND CONSTANTIN SHRAMOV In memory of Vasily Iskovskikh Abstract. We prove the existence of Kähler–Einstein metrics on a nonsingular section of the Grassmannian Gr(2, 5) ⊂ P by a linear subspace of codimension 3, and the Fermat hypersurface of degree 6 in 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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