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arXiv · 1912.09968

Some Motivic Remarks On The Moduli Stacks Of global G-Shtukas And Their Local Models

Esmail Arasteh Rad·Somayeh Habibi
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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.

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Esmail Arasteh Rad, Somayeh Habibi. 2019-12-19. Some Motivic Remarks On The Moduli Stacks Of global G-Shtukas And Their Local Models. https://arxiv.org/abs/1912.09968

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