Affine cones over smooth cubic surfaces

被引：33

作者：

Cheltsov, Ivan ^{[1
,2
]}

Park, Jihun ^{[3
,4
]}

Won, Joonyeong ^{[5
]}

机构：

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

[2] Natl Res Univ, Higher Sch Econ, Lab Algebra Geometry, 7 Vavilova St, Moscow 117312, Russia

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

[4] POSTECH, Dept Math, 77 Cheongam Ro, Pohang 37673, Gyeongbuk, South Korea

[5] KIAS, 85 Hoegiro, Seoul 02455, South Korea

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2016年 / 18卷 / 07期

关键词：

Affine cone; alpha-invariant; anticanonical divisor; cylinder; del Pezzo surface; G(a)-action; log canonical singularity; LOG-CANONICAL THRESHOLDS; KAHLER-EINSTEIN METRICS; DEL PEZZO SURFACES; COMPLEX-SURFACES; EQUATIONS;

D O I：

10.4171/JEMS/622

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that affine cones over smooth cubic surfaces do not admit non-trivial G(a)-actions.

引用

页码：1537 / 1564

页数：28

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