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We show that the usual Hodge conjecture implies the general Hodge conjecture for certain abelian varieties of type III, and use this to deduce the general Hodge conjecture for all powers of certain 4-dimensional abelian varieties of type III. We also show the existence of a Hodge structure M such that M occurs in the cohomology of an abelian variety, but… (More)
We show that any effective Hodge structure of CMtype occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a simple proof of the theorem (due to Hazama) that the usual Hodge conjecture for the class of all CM abelian varieties implies the general Hodge conjecture for the same class.
In India, illiterate women have been making films since 1984 undeterred by their former lack of experience in this area. Video SEWA (Self-Employed Widows Association) is composed of a collection of women from various backgrounds who have produced over 100 films, with 39 complete and available to the public. The films reflect the extraordinary nature of… (More)