Classification of log del Pezzo surfaces of index three

Abstract

A normal projective non-Gorenstein log-terminal surface $S$ is called a log del Pezzo surface of index three if the three-times of the anti-canonical divisor $-3K_S$ is an ample Cartier divisor. We classify all of the log del Pezzo surfaces of index three. The technique for the classification based on the argument of Nakayama.

68 pages

Cited by in corpus (1)

• Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces