BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE
|
2008年
/
136卷
/
02期
关键词:
Compact complex surface;
global spherical shell;
closed positive current;
iteration of polynomial maps;
D O I:
10.24033/bsmf.2556
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Harvey and Lawson introduced the Kahler rank and computed it in connection to the cone of positive exact currents of bidimension (1, 1) for many classes of compact complex surfaces. In this paper we extend these. computations to the only further known class of surfaces not considered by them, that of Kato surfaces. Our main tool is the reduction to the dynamics of associated holomorphic contractions (C(2), 0) -> (C(2), 0).