Real rectifiable currents, holomorphic chains and algebraic cycles
Abstract: 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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Real rectifiable currents, holomorphic chains and algebraic cycles ; volume:8 ; number:1 ; year:2021 ; pages:274-285 ; extent:12
Complex manifolds ; 8, Heft 1 (2021), 274-285 (gesamt 12)
- Urheber
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Teh, Jyh-Haur
Yang, Chin-Jui
- DOI
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10.1515/coma-2020-0119
- URN
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urn:nbn:de:101:1-2022111213201668626940
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 15.08.2025, 07:22 MESZ
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Beteiligte
- Teh, Jyh-Haur
- Yang, Chin-Jui
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