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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Autores principales:	Teh Jyh-Haur, Yang Chin-Jui
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2020
Materias:	rectifiable current holomorphic chain algebraic cycle 32c30 32c35 14c25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/eeb09b5cedc04205b30b2116620532fe
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id	oai:doaj.org-article:eeb09b5cedc04205b30b2116620532fe
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spelling	oai:doaj.org-article:eeb09b5cedc04205b30b2116620532fe2021-12-02T17:14:47ZA characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles2300-744310.1515/coma-2020-0005https://doaj.org/article/eeb09b5cedc04205b30b2116620532fe2020-02-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0005https://doaj.org/toc/2300-7443We 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.Teh Jyh-HaurYang Chin-JuiDe Gruyterarticlerectifiable currentholomorphic chainalgebraic cycle32c3032c3514c25MathematicsQA1-939ENComplex Manifolds, Vol 7, Iss 1, Pp 93-105 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	rectifiable current holomorphic chain algebraic cycle 32c30 32c35 14c25 Mathematics QA1-939
spellingShingle	rectifiable current holomorphic chain algebraic cycle 32c30 32c35 14c25 Mathematics QA1-939 Teh Jyh-Haur Yang Chin-Jui A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
description	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.
format	article
author	Teh Jyh-Haur Yang Chin-Jui
author_facet	Teh Jyh-Haur Yang Chin-Jui
author_sort	Teh Jyh-Haur
title	A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
title_short	A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
title_full	A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
title_fullStr	A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
title_full_unstemmed	A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
title_sort	characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
publisher	De Gruyter
publishDate	2020
url	https://doaj.org/article/eeb09b5cedc04205b30b2116620532fe
work_keys_str_mv	AT tehjyhhaur acharacterizationofrealholomorphicchainsandapplicationsinrepresentinghomologyclassesbyalgebraiccycles AT yangchinjui acharacterizationofrealholomorphicchainsandapplicationsinrepresentinghomologyclassesbyalgebraiccycles AT tehjyhhaur characterizationofrealholomorphicchainsandapplicationsinrepresentinghomologyclassesbyalgebraiccycles AT yangchinjui characterizationofrealholomorphicchainsandapplicationsinrepresentinghomologyclassesbyalgebraiccycles
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A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles

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