Real rectifiable currents, holomorphic chains and algebraic cycles

Autor: Teh Jyh-Haur, Yang Chin-Jui
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Complex Manifolds, Vol 8, Iss 1, Pp 274-285 (2021)
Druh dokumentu: article
ISSN: 2300-7443
DOI: 10.1515/coma-2020-0119
Popis: 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.
Databáze: Directory of Open Access Journals