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arXiv · 1810.00355

Real rectifiable currents, holomorphic chains and algebraic cycles

Jyh-Haur Teh·Chin-Jui Yang
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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.

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Jyh-Haur Teh, Chin-Jui Yang. 2018-09-30. Real rectifiable currents, holomorphic chains and algebraic cycles. https://arxiv.org/abs/1810.00355

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