On the general Hodge conjecture for abelian varieties of CM-type (Q1884459)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the general Hodge conjecture for abelian varieties of CM-type |
scientific article; zbMATH DE number 2113009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the general Hodge conjecture for abelian varieties of CM-type |
scientific article; zbMATH DE number 2113009 |
Statements
On the general Hodge conjecture for abelian varieties of CM-type (English)
0 references
1 November 2004
0 references
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.
0 references
hyperplane arrangements
0 references
