Exceptional del Pezzo hypersurfaces

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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 Kähler--Einstein metrics on many of them, and classify exceptional and weakly exceptional quasismooth well-formed del Pezzo weighted hypersurfaces in $\mathbb{P}(a_{1},a_{2},a_{3},a_{4})$.
149 pages, one reference added

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Algebraic Geometry, Differential Geometry, 14J45, 32Q20, 14J26

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http://salesiana.dossiersoluciones.com/handle/123456789/225752

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2704
 http://arxiv.org/abs/0810.2704

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arXiv