12 citations · 16 across the 5 of their papers we have counts for
5 papers
Classification of Kuga fiber varieties
Salman Abdulali
We complete Satake's classification of Kuga fiber varieties by showing that if a representation of a hermitian algebraic group satisfies Satake's necessary conditions, then som…
Tate twists of Hodge structures arising from abelian varieties of type IV
Salman Abdulali
We show that certain abelian varieties A have the property that for every Hodge structure V in the cohomology of A, every effective Tate twist of V occurs in the cohomology of some…
Hodge structures associated to SU(p,1)
Salman Abdulali
Let A be an abelian variety over C such that the semisimple part of the Hodge group of A is a product of copies of SU(p,1) for some p>1. We show that any effective Tate twist of a…
Hodge structures of CM-type
Salman Abdulali
We show that any effective Hodge structure of CM-type occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a si…
Hodge structures on abelian varieties of type III
Salman Abdulali
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…