2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218757We prove the existence of Kahler-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 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 1/2.16 pages, dedication is changed, because Vasily Iskovskikh passed away on 4th January 2009Algebraic GeometryDifferential Geometry14J45, 32Q20text