Green currents for holomorphic automorphisms of compact Kähler manifolds

Green currents for holomorphic automorphisms of compact Kähler manifolds
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DOI:
10.1090/s0894-0347-04-00474-6
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发表时间:
2004-12
影响因子:
3.9
通讯作者:
T. Dinh;N. Sibony
T. Dinh;N. Sibony
中科院分区:
数学1区
文献类型:
--
作者:
T. Dinh;N. Sibony

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以及一些额外的规律性属性。很可能,电流T将描述对应于最小est Lyapounov指数的余维s不变流形的分布。设dp表示f的p阶动力学度。它描述了p维流形的体积在迭代下的增长。当d1> 1时,自然首先引入正闭合(1,1)电流,因为如果
and some additional regularity properties. Very likely, the currents T will describe the distribution of invariant manifolds of codimension s corresponding to the small est Lyapounov exponents. Let dp denote the dynamical degree of order p of /. It describes the growth under iteration of the volume of p-dimensional manifolds. When d\ > 1, it is natural to introduce first a positive closed (1, l)-current as ifnYoj 7\ := lim ^?-.