Exceptional del Pezzo hypersurfaces

Details Exceptional del Pezzo hypersurfaces Exceptional del Pezzo hypersurfaces

2008-10-15

arxiv.org/abs/0810.2704v6

Mathematics

Algebraic Geometry

149 pages, one reference added

Scientific paper

We compute global log canonical thresholds of a large class of quasismooth well-formed del Pezzo weighted hypersurfaces in $\mathbb{P}(a_{1},a_{2},a_{3},a_{4})$. As a corollary we obtain the existence of orbifold K\"ahler--Einstein metrics on many of them, and classify exceptional and weakly exceptional quasismooth well-formed del Pezzo weighted hypersurfaces in $\mathbb{P}(a_{1},a_{2},a_{3},a_{4})$.

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