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

Autor: Teh Jyh-Haur, Yang Chin-Jui
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Complex Manifolds, Vol 7, Iss 1, Pp 93-105 (2020)
Druh dokumentu: article
ISSN: 2300-7443
2020-0005
DOI: 10.1515/coma-2020-0005
Popis: 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.
Databáze: Directory of Open Access Journals