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

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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Bibliographic Details
Main Authors: Teh Jyh-Haur, Yang Chin-Jui
Format: article
Language:EN
Published: De Gruyter 2020
Subjects:
Online Access:https://doaj.org/article/eeb09b5cedc04205b30b2116620532fe
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