多调和函数的bot - chen上同调与Hartogs扩展定理

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-05-05 DOI:10.2422/2036-2145.202205_007

Xieping Wang

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引用次数: 2

摘要

．设X是一个维数n≥2的上同(n−1)完全复流形。我们证明了X上紧支持(1,1)型的bot - chern上同群的一个消失结果，并结合著名的Ehrenpreis技术，给出了X上多调和函数的Hartogs型可拓定理。

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

. 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 .

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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

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