Some remarks on the Hodge conjecture for abelian varieties
Annali Di Matematica Pura Ed Applicata(2009)
Abstract
We show how the classical Hodge conjecture for the middle cohomology of an abelian variety is equivalent to the general Hodge conjecture for the middle cohomology of a smooth ample divisor in the abelian variety. This is best suited to abelian varieties with actions of imaginary quadratic fields.
MoreTranslated text
Key words
abelian varieties · hodge conjecture · weil type · imaginary quadratic field,abelian variety
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined