Laminarity of some currents

被引:17
作者
De Thélin, H [1 ]
机构
[1] Univ Toulouse 3, Lab Emile Picard, CNRS, UMR 5580, F-31062 Toulouse 4, France
来源
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2004年 / 37卷 / 02期
关键词
D O I
10.1016/j.ansens.2003.06.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that a sequence of smooth analytic curves of the unit ball of the complex plane, for which the genus is bounded by the area, converges to a lamination in a weak sense. (C) 2004 Elsevier SAS.
引用
收藏
页码:304 / 311
页数:8
相关论文
共 9 条
[1]   POLYNOMIAL DIFFEOMORPHISMS OF C-2 .4. THE MEASURE OF MAXIMAL ENTROPY AND LAMINAR CURRENTS [J].
BEDFORD, E ;
LYUBICH, M ;
SMILLIE, J .
INVENTIONES MATHEMATICAE, 1993, 112 (01) :77-125
[2]  
Bedford E., 1998, J GEOM ANAL, V8, P349, DOI [DOI 10.1007/BF02921791, 10.1007/BF02921791]
[3]  
Bishop E., 1964, MICH MATH J, V11, P289
[4]   Dynamics of automorphisms of K3 surfaces [J].
Cantat, S .
ACTA MATHEMATICA, 2001, 187 (01) :1-57
[5]  
DUJARDIN R, IN PRES AMTH ANN
[6]   POLYNOMIAL CONVEXITY, RATIONAL CONVEXITY, AND CURRENTS [J].
DUVAL, J ;
SIBONY, N .
DUKE MATHEMATICAL JOURNAL, 1995, 79 (02) :487-513
[7]  
MORGAN F, 1988, GEOMETRICS MEASURE T
[8]  
Nevanlinna R., 1970, Analytic Functions
[9]  
[No title captured], DOI 10.24033/asens.984