Real rectifiable currents, holomorphic chains and algebraic cycles

Autor:	Teh, Jyh-Haur, Yang, Chin-Jui
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry 53C65 14C30
Druh dokumentu:	Working Paper
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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.00355 Zobrazit plný text záznamu View this record from Arxiv