Exceptional del Pezzo Hypersurfaces

By Ivan Cheltsov, Ji-Heon Park, Constantin Shramov. 2008

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We compute global log canonical thresholds of a large class of quasismooth well-formed del Pezzo weighted hypersurfaces in ℙ(a0,a1,a2,a3). As a corollary we obtain the existence of orbifold Kähler-Einstein metrics on many of them, and classify exceptional and weakly exceptional quasismooth well-formed del Pezzo weighted hypersurfaces in ℙ(a0,a1,a2,a3).

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/93a3698f1f2cdc2fef8b6ba42bf9016e1dccf740