Complex Manifolds (Feb 2020)

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

  • Teh Jyh-Haur,
  • Yang Chin-Jui

DOI
https://doi.org/10.1515/coma-2020-0005
Journal volume & issue
Vol. 7, no. 1
pp. 93 – 105

Abstract

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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.

Keywords