Bott-Chern cohomology and the Hartogs extension theorem for pluriharmonic functions

Bott-Chern cohomology and the Hartogs extension theorem for pluriharmonic functions
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多调和函数的 Bott-Chern 上同调和 Hartogs 扩展定理

DOI:
10.2422/2036-2145.202205_007
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发表时间:
2022
期刊:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
影响因子:
--
通讯作者:
Xieping Wang
Xieping Wang
中科院分区:
--
文献类型:
--
作者:
Xieping Wang

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.设X是维数n ≥ 2的上同调(n − 1)-完备复流形。证明了X上具有紧支集的(1,1)型Bott-Chern上同调群的一个零化结果,结合著名的Escherapreis技巧,得到了X上多重调和函数的Hartogs型扩张定理.
. Let X be a cohomologically ( n − 1)-complete complex manifold of dimension n ≥ 2. We prove a vanishing result for the Bott-Chern cohomology group of type (1 , 1) with compact support in X , which combined with the well-known technique of Ehrenpreis implies a Hartogs type extension theorem for pluriharmonic functions on X .
复杂分析多个变量
DOI: --
发表时间: 2004
期刊:
影响因子: --
作者:
K-H Fichtner;W.Freudenberg;M.Ohya;Ed.K.Miyajima
通讯作者: Ed.K.Miyajima