A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles
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.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-02-01
|
| Series: | Complex Manifolds |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/coma-2020-0005 |