实可整流，全纯链和代数环

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2021-01-01 DOI:10.1515/coma-2020-0119

J. Teh, Chin-Jui Yang

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引用次数: 0

摘要

摘要研究了实数可整流电流的一些基本性质，给出了用正实数全纯链定义电流的King定理的推广。我们的主要工具是Siu的半连续性定理，我们的证明在很大程度上简化了King的证明。这个结果的一个推论是霍奇猜想的充分条件。

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Real rectifiable currents, holomorphic chains and algebraic cycles

Abstract We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains. Our main tool is Siu’s semi-continuity theorem and our proof largely simplifies King’s proof. A consequence of this result is a sufficient condition for the Hodge conjecture.

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.