Extremal metrics on del Pezzo threefolds

Original · EN

We prove the existence of Kahler-Einstein metrics on a nonsingular section of the Grassmannian Gr(2, 5)⁹ 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.