On certain products of algebraic groups over a finite field
Abstract
Let G1,...,Gq be algebraic varieties over a finite field k. We show that, if q >1, the finiteness of the tensor product of G1, ...,Gq 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.
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