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

Jyh-Haur Teh 和 Chin-Jui Yang
Complex Manifolds, 卷.7(1), 頁碼.93-105
01/2020
DOI: https://doi.org/10.1515/coma-2020-0005

摘要

algebraic cycle holomorphic chain rectifiable current Geometry and Topology
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 H -locally finite support. This result is applied to study homology classes represented by algebraic cycles.

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