Del Pezzo surfaces with infinite automorphism groups

被引:10
作者
Cheltsov, Ivan [1 ,2 ]
Prokhorov, Yuri [2 ,3 ]
机构
[1] Univ Edinburgh, Edinburgh, Midlothian, Scotland
[2] Natl Res Univ Higher Sch Econ, Moscow, Russia
[3] Steklov Math Inst, Moscow, Russia
来源
ALGEBRAIC GEOMETRY | 2021年 / 8卷 / 03期
关键词
del Pezzo surface; Du Val singularity; automorphism; ISOLATED SINGULARITIES; DELPEZZO SURFACES; ADJUNCTION; GEOMETRY; COMPACTIFICATIONS;
D O I
10.14231/AG-2021-008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify del Pezzo surfaces with Du Val singularities that have infinite automorphism groups and describe the connected components of their automorphisms groups.
引用
收藏
页码:319 / 357
页数:39
相关论文
共 32 条
[1]   Reductivity of the automorphism group of K-polystable Fano varieties [J].
Alper, Jarod ;
Blum, Harold ;
Halpern-Leistner, Daniel ;
Xu, Chenyang .
INVENTIONES MATHEMATICAE, 2020, 222 (03) :995-1032
[2]  
[Anonymous], 1979, THESIS
[3]  
Arzhantsev I., 2015, CAMBRIDGE STUD ADV M, V144
[4]   ON SINGULAR 4-MANIFOLDS OF THE HOMOLOGY TYPE OF CP2 [J].
BINDSCHADLER, D ;
BRENTON, L .
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1984, 24 (01) :67-81
[6]  
BRIESKORN E, 1968, INVENT MATH, V4, P336
[7]   CLASSIFICATION OF CUBIC SURFACES [J].
BRUCE, JW ;
WALL, CTC .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 19 (APR) :245-256
[8]  
CORAY DF, 1988, P LOND MATH SOC, V57, P25
[9]  
DEMAZURE M, 1980, LECT NOTES MATH, V777
[10]  
Derenthal U., 2010, J MATH SCI, V171, P714