The Bicanonical Map of Fake Projective Planes with an Automorphism

被引:3
作者
Catanese, Fabrizio [1 ]
Keum, JongHae [2 ]
机构
[1] Univ Bayreuth, Lehrstuhl Math 8, Math Inst, NW 2,Univ Str 30, D-95447 Bayreuth, Germany
[2] Korea Inst Adv Study, Sch Math, Hoegiro 85, Seoul 02455, South Korea
基金
新加坡国家研究基金会; 欧洲研究理事会;
关键词
FUNDAMENTAL GROUP; SURFACE; CURVES;
D O I
10.1093/imrn/rny214
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show, for several fake projective planes with a nontrivial group of automorphisms, that the bicanonical map is an embedding.
引用
收藏
页码:7747 / 7768
页数:22
相关论文
共 38 条
[1]  
[Anonymous], 2009, Basic Algebra I
[2]  
ARMSTRON.MA, 1965, PROC CAMB PHILOS S-M, V61, P639
[3]  
ARMSTRONG MA, 1968, PROC CAMB PHILOS S-M, V64, P299
[4]  
AUBIN T, 1976, CR ACAD SCI A MATH, V283, P119
[5]  
Barth W. P., 2004, ERGEBNISSE MATH IHRE, V4, DOI DOI 10.1007/978-3
[6]  
Beilinson A.A., 1978, Funktsional. Anal. i Prilozhen, V12, P68
[7]   On the derived category of the classical Godeaux surface [J].
Boehning, Christian ;
von Bothmer, Hans-Christian Graf ;
Sosna, Pawel .
ADVANCES IN MATHEMATICS, 2013, 243 :203-231
[8]  
Borisov L. A., ARXIV180206333
[9]  
Brown K. S., 1982, GRADUATE TEXTS MATH
[10]   Enumeration of the 50 fake projective planes [J].
Cartwright, Donald I. ;
Steger, Tim .
COMPTES RENDUS MATHEMATIQUE, 2010, 348 (1-2) :11-13