Real rectifiable currents, holomorphic chains and algebraic cycles

We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains. Our main tool is Siu’s semi-continuity theorem and our proof largely simplifies King’s proof. A consequence of this resu...

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Auteurs principaux:	Teh Jyh-Haur, Yang Chin-Jui
Format:	article
Langue:	EN
Publié:	De Gruyter 2021
Sujets:	real rectifiable current real holomorphic chain holomorphic subvariety hodge conjecture 32u40 14c25 Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/91655e6b896f4f40b0af1c86adfb7cd7
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id	oai:doaj.org-article:91655e6b896f4f40b0af1c86adfb7cd7
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spelling	oai:doaj.org-article:91655e6b896f4f40b0af1c86adfb7cd72021-12-05T14:10:45ZReal rectifiable currents, holomorphic chains and algebraic cycles2300-744310.1515/coma-2020-0119https://doaj.org/article/91655e6b896f4f40b0af1c86adfb7cd72021-09-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0119https://doaj.org/toc/2300-7443We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains. Our main tool is Siu’s semi-continuity theorem and our proof largely simplifies King’s proof. A consequence of this result is a sufficient condition for the Hodge conjecture.Teh Jyh-HaurYang Chin-JuiDe Gruyterarticlereal rectifiable currentreal holomorphic chainholomorphic subvarietyhodge conjecture32u4014c25MathematicsQA1-939ENComplex Manifolds, Vol 8, Iss 1, Pp 274-285 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	real rectifiable current real holomorphic chain holomorphic subvariety hodge conjecture 32u40 14c25 Mathematics QA1-939
spellingShingle	real rectifiable current real holomorphic chain holomorphic subvariety hodge conjecture 32u40 14c25 Mathematics QA1-939 Teh Jyh-Haur Yang Chin-Jui Real rectifiable currents, holomorphic chains and algebraic cycles
description	We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains. Our main tool is Siu’s semi-continuity theorem and our proof largely simplifies King’s proof. A consequence of this result is a sufficient condition for the Hodge conjecture.
format	article
author	Teh Jyh-Haur Yang Chin-Jui
author_facet	Teh Jyh-Haur Yang Chin-Jui
author_sort	Teh Jyh-Haur
title	Real rectifiable currents, holomorphic chains and algebraic cycles
title_short	Real rectifiable currents, holomorphic chains and algebraic cycles
title_full	Real rectifiable currents, holomorphic chains and algebraic cycles
title_fullStr	Real rectifiable currents, holomorphic chains and algebraic cycles
title_full_unstemmed	Real rectifiable currents, holomorphic chains and algebraic cycles
title_sort	real rectifiable currents, holomorphic chains and algebraic cycles
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/91655e6b896f4f40b0af1c86adfb7cd7
work_keys_str_mv	AT tehjyhhaur realrectifiablecurrentsholomorphicchainsandalgebraiccycles AT yangchinjui realrectifiablecurrentsholomorphicchainsandalgebraiccycles
_version_	1718371766442655744

Real rectifiable currents, holomorphic chains and algebraic cycles

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