The intersection of an entire holomorphic mapping and a complex Monge-Ampere current with a bounded potential

The intersection of an entire holomorphic mapping and a complex Monge-Ampere current with a bounded potential
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整个全纯映射与具有有界电势的复杂蒙日安培电流的交集

DOI:
10.1090/proc/13295
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发表时间:
2016
影响因子:
1
通讯作者:
Yusaku Tiba
Yusaku Tiba
中科院分区:
数学3区
文献类型:
--
作者:
飯嶋 広大,Yann Le Gal,Agathe Filatre-Furcate,東野 寿樹,Dominique Lorcy,森 健彦;Yusaku Tiba

文献摘要

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在本文中,我们研究了整个全纯映射与具有有界电势的复杂 Monge-Ampère 电流的交集。通过使用我们的结果,我们展示了涉及整个全纯映射的阶函数的充分条件,使得其图像的补集是多极集。参考
In this paper, we study the intersection of an entire holomorphic mapping and a complex Monge-Ampère current with a bounded potential. By using our results, we show a sufficient condition involving order functions of an entire holomorphic mapping such that the complement of its image is a pluripolar set. References