On the general Hodge conjecture for abelian varieties of CM-type
type: Item
instance of: scholarly article
title: On the general Hodge conjecture for abelian varieties of CM-type
zbMATH Open document ID: 1067.14010
author: Fumio Hazama
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2004-11-01T00:00:00Z
review text: The author proves that the validity of the Hodge conjecture in codimension two for abelian varieties of CM-type implies that of the general Hodge conjecture for any abelian varieties of CM-type. The proof is carried out by using the theory of abelian varieties associated to hyperplane arrangements.
reviewed by: Min Ho Lee
Mathematics Subject Classification ID: 14C30
Mathematics Subject Classification ID: 14K22
zbMATH DE Number: 2113009
zbMATH Keywords: hyperplane arrangements
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1145476042
OpenAlex ID: W2011816688
cites work: The Structure of Galois Groups of CM-Fields
cites work: Q4518992
cites work: Q3320521
cites work: A Survey of the Hodge Conjecture
cites work: Algebraic cycles on abelian varieties of complex multiplication type
cites work: Q3849064
cites work: Bilinear form of real configuration of hyperplanes
Wikidata QID: Q123109449
DOI: 10.2977/PRIMS/1145476042
description: scientific article; zbMATH DE number 2113009