Classification of log del Pezzo surfaces of index three

Kento Fujita; Kazunori Yasutake

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arXiv · 1401.1283

Classification of log del Pezzo surfaces of index three

Kento Fujita·Kazunori Yasutake

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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.

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Kento Fujita, Kazunori Yasutake. 2014-01-07. Classification of log del Pezzo surfaces of index three. https://arxiv.org/abs/1401.1283

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