Beilinson-Hodge cycles on semiabelian varieties
Beilinson-Hodge cycles on semiabelian varieties
Given a smooth not necessarily proper complex variety U , Beilinson [B] conjectured that all Hodge cycles in H * (U, Q) come from motivic cohomology, or more precisely that the so called regulator mapfrom Bloch's higher Chow group [Bl] is surjective.This is a very natural and appealing statement which …