On certain products of algebraic groups over a finite field
K-Theory and Homology
2013-04-04 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.1209.4457,
title = {On certain products of algebraic groups over a finite field},
author = {Toshiro Hiranouchi},
journal= {arXiv preprint arXiv:1209.4457},
year = {2013}
}