Log del Pezzo surfaces of rank one containing the affine plane

Hideo Kojima; Takeshi Takahashi

doi:nihmj/1565048776

2018 Log del Pezzo surfaces of rank one containing the affine plane

Hideo Kojima, Takeshi Takahashi

Nihonkai Math. J. 29(2): 77-130 (2018).

Abstract

Let $X$ be a log del Pezzo surface of rank one. In [8], the first author determined the possible singularity type of $X$ when $X$ contains the affine plane as a Zariski open subset. In this paper, we prove that, if $X$ contains a non-cyclic quotient singular point and its singularity type is one of the list of [8, Appendix C], then it contains the affine plane as a Zariski open subset.

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Hideo Kojima and Takeshi Takahashi "Log del Pezzo surfaces of rank one containing the affine plane," Nihonkai Mathematical Journal 29(2), 77-130, (2018). https://doi.org/

Received: 13 September 2018; Published: 2018

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