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

Jyh-Haur Teh, Chin-Jui Yang

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…