Real rectifiable currents, holomorphic chains and algebraic cycles
Differential Geometry
2021-01-01 v3
Abstract
We study some fundamental properties of real rectifiable currents and give a generalization of King's theorem in characterizing currents defined by positive real holomorphic chains. Our proof uses Siu's semicontinuity theorem and largely simplifies King's proof. A consequence of this result is a sufficient condition for the Hodge conjecture.
Cite
@article{arxiv.1810.00355,
title = {Real rectifiable currents, holomorphic chains and algebraic cycles},
author = {Jyh-Haur Teh and Chin-Jui Yang},
journal= {arXiv preprint arXiv:1810.00355},
year = {2021}
}
Comments
15 pages