Real rectifiable currents, holomorphic chains and algebraic cycles
| Autor: | Jyh-Haur Teh, Chin-Jui Yang |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics real holomorphic chain 14c25 Mathematics::Complex Variables Generalization hodge conjecture 53C65 14C30 Holomorphic function holomorphic subvariety Algebraic cycle Hodge conjecture real rectifiable current Differential Geometry (math.DG) QA1-939 FOS: Mathematics Geometry and Topology 32u40 Mathematics |
| Zdroj: | Complex Manifolds, Vol 8, Iss 1, Pp 274-285 (2021) |
| ISSN: | 2300-7443 |
| Popis: | 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. 15 pages |
| Databáze: | OpenAIRE |
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