Some Motivic Remarks On The Moduli Stacks Of global G-Shtukas And Their Local Models
arXiv:1912.09968
Abstract
In this article we study motives corresponding to the moduli stacks of G-shtukas and their local models. In particular we deal with the question of describing their motivic fundamental invariants. As an application, we provide a criterion for mixed Tateness of the local model, and discuss the semi-simplicity of Frobenius on their cohomology. We then use the theory of local models to reformulate a purity result for these moduli stacks in the motivic context.
30 pages. arXiv admin note: text overlap with arXiv:1605.01588