Divisibility and torsion in higher Chow groups over arithmetic fields

Toshiro Hiranouchi, Rin Sugiyama

Let $X$ be a smooth scheme of dimension $d$ over a field $F$. We study the abelian-group structure of the higher Chow groups $C{H}^{d+i}(X,j)$. For a prime $l$ different from the cha…