On the cohomology of Kuga’s fiber variety
On the cohomology of Kuga’s fiber variety
Results of Matsushima and Murakami, and Matsushima and Shimura, are applied to the study of certain subspaces of the cohomology of fiber varieties of Kuga-Satake type.These subspaces are defined in terms of the Kahler and fiber space bigradings of the cohomology of the fiber variety.