Polarized endomorphisms of complex normal varieties

被引：47
作者：
Nakayama, Noboru [2 ]
Zhang, De-Qi [1 ]
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
[2] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
MATHEMATISCHE ANNALEN | 2010年 / 346卷 / 04期
关键词：
SMOOTH PROJECTIVE 3-FOLDS; ZARISKI DECOMPOSITION; KODAIRA DIMENSION; MANIFOLDS; MORPHISMS; CURVES; MAPS;
D O I：
10.1007/s00208-009-0420-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that a complex normal projective variety has non-positive Kodaira dimension if it admits a non-isomorphic quasi-polarized endomorphism. The geometric structure of the variety is described by methods of equivariant lifting and fibrations.
引用
收藏
页码：991 / 1018
页数：28
相关论文
共 45 条
[1]   On endomorphisms of projective bundles [J].
Amerik, E .
MANUSCRIPTA MATHEMATICA, 2003, 111 (01) :17-28
[2]   A boundedness theorem for morphisms between threefolds [J].
Amerik, E ;
Rovinsky, M ;
Van de Ven, A .
ANNALES DE L INSTITUT FOURIER, 1999, 49 (02) :405-+
[3]  
Amerik E, 1997, DOC MATH, V2, P195
[4]  
[Anonymous], 2004, FANO C
[5]  
[Anonymous], MATHAG0405285
[6]  
BEAUVILLE A, 1983, J DIFFER GEOM, V18, P755
[7]   LINEAR TRANSFORMATIONS WITH INVARIANT CONES [J].
BIRKHOFF, G .
AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (03) :274-+
[8]  
CAMPANA F, 1992, ANN SCI ECOLE NORM S, V25, P539
[9]  
Cantat S., 2003, ENSEIGN MATH, V49, P237
[10]   ZARISKI DECOMPOSITION OF DIVISORS ON ALGEBRAIC-VARIETIES [J].
CUTKOSKY, SD .
DUKE MATHEMATICAL JOURNAL, 1986, 53 (01) :149-156
12345