A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2019-01-14 DOI:10.1515/coma-2020-0005

J. Teh, Chin-Jui Yang

引用次数: 1

Abstract

Abstract We show that a 2k-current T on a complex manifold is a real holomorphic k-chain if and only if T is locally real rectifiable, d-closed and has ℋ2k-locally finite support. This result is applied to study homology classes represented by algebraic cycles.

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实全纯链的一个性质及其在代数环表示同调类中的应用

摘要我们证明了复流形上的2k电流T是实全纯k-链当且仅当T是局部实可直的，d-闭的并且具有ℋ2k局部有限支撑。这一结果应用于研究代数环表示的同调类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.