Classification of log del Pezzo surfaces of index three

Kento Fujita; Kazunori Yasutake

Classification of log del Pezzo surfaces of index three

Algebraic Geometry 2014-01-08 v1

Authors: Kento Fujita , Kazunori Yasutake

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.

Keywords

log del Pezzo surfaces index three classification anti-canonical divisor Cartier divisor Nakayama's argument normal projective surface

Cite

@article{arxiv.1401.1283,
  title  = {Classification of log del Pezzo surfaces of index three},
  author = {Kento Fujita and Kazunori Yasutake},
  journal= {arXiv preprint arXiv:1401.1283},
  year   = {2014}
}

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68 pages

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