On certain products of algebraic groups over a finite field

Abstract

Let G_1,...,G_q be algebraic varieties over a finite field k. We show that, if q >1, the finiteness of the tensor product of G_1, ...,G_q as Mackey functors. We apply this to prove the finiteness of a relative Chow group and an abelian fundamental group which classifies abelian coverings with bounded ramification along the boundary.

References in corpus (1)

• A finiteness theorem for Galois representations of function fields over finite fields (after Deligne)