Extremal metrics on del Pezzo threefolds

  • I. A. Cheltsov
  • K. A. Shramov


We prove the existence of Kähler-Einstein metrics on a nonsingular section of the Grassmannian Gr(2, 5) ⊂ ℙ9 by a linear subspace of codimension 3 and on 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.


STEKLOV Institute Exceptional Divisor Einstein Metrics Pezzo Surface Cartier Divisor 
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© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.School of MathematicsUniversity of EdinburghEdinburghUK

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