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

Autor:	Teh, Jyh-Haur, Yang, Chin-Jui
Rok vydání:	2019
Předmět:	Mathematics - Differential Geometry Mathematics - Algebraic Geometry Mathematics - Complex Variables
Druh dokumentu:	Working Paper
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 $\mathcal{H}^{2k}$-locally finite support. This result is applied to study homology classes represented by algebraic cycles. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1901.04152 Zobrazit plný text záznamu View this record from Arxiv