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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.

Funding Statement

This work was supported by JSPS KAKENHI Grant Numbers JP16K05094, JP17K05198.

Citation

Download Citation

Hideo Kojima. Takeshi Takahashi. "Log del Pezzo surfaces of rank one containing the affine plane." Nihonkai Math. J. 29 (2) 77 - 130, 2018.

Information

Received: 13 September 2018; Revised: 7 December 2018; Published: 2018
First available in Project Euclid: 5 August 2019

zbMATH: 07097315
MathSciNet: MR3989234

Subjects:
Primary: 14J26
Secondary: 14J17

Keywords: compactification of the affine plane , log del Pezzo surface , quotient singular point

Rights: Copyright © 2018 Niigata University, Department of Mathematics

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Vol.29 • No. 2 • 2018
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