Complex Manifolds (Feb 2020)
A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
Abstract
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.
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