Cylinders in singular del Pezzo surfaces

Cheltsov Ivan; Park Jihun; Won Joonyeong

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Cylinders in singular del Pezzo surfaces

机译：Cylinders in singular del Pezzo surfaces

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For each del Pezzo surface S with du Val singularities, we determine whether it admits a (-K-S)-polar cylinder or not. If it allows one, then we present an effective Q-divisor D that is Q-linearly equivalent to -K-S and such that the open set SSupp(D) is a cylinder. As a corollary, we classify all the del Pezzo surfaces with du Val singularities that admit non-trivial G(a)-actions on their affine cones defined by their anticanonical divisors.

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《Compositio mathematica》 |2016年第6期|1198-1224|共27页
作者
Cheltsov Ivan; Park Jihun; Won Joonyeong;
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作者单位

Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Kings Bldg,Mayfield Rd, Edinburgh EH9 3JZ, Midlothian, Scotland;

Inst for Basic Sci Korea, Ctr Geometry & Phys, 77 Cheongam Ro, Pohang 37673, Gyeongbuk, South Korea;

Korea Adv Inst Sci & Technol, Algebra Struct & Its Applicat Res Ctr, 335 Gwahangno, Daejeon 34143, South Korea;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
affine cone; anticanonical divisor; cylinder; del Pezzo surface; du Val singularity; G(a)-action; minimal resolution; log canonical singularity; weak del Pezzo surface;

Cylinders in singular del Pezzo surfaces

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