Characterization of log del Pezzo pairs via anticanonical models
Algebraic Geometry
2013-04-25 v2 Commutative Algebra
Abstract
There are several variations of the definition of log del Pezzo pairs in the literature. We define their suitable smooth models, and we show that they are the same. In particular, we obtain a characterization of smooth log del Pezzo pairs in terms of anticanonical models. As applications, we classify non-rational weak log canonical del Pezzo pairs, and we prove that every surface of globally F-regular type is of Fano type.
Keywords
Cite
@article{arxiv.1303.2973,
title = {Characterization of log del Pezzo pairs via anticanonical models},
author = {DongSeon Hwang and Jinhyung Park},
journal= {arXiv preprint arXiv:1303.2973},
year = {2013}
}
Comments
18 pages. Comments are welcome. Lemma 7.5 is corrected