Exceptional del Pezzo hypersurfaces

Abstract

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

References in corpus (1)

• On singular cubic surfaces