%0 Journal Article
%T Regulators of canonical extensions are torsion: the smooth divisor case
%A Jaya N. Iyer
%A Carlos T. Simpson
%J Mathematics
%D 2007
%I arXiv
%X In this paper, we prove a generalization of Reznikov's theorem which says that the Chern-Simons classes and in particular the Deligne Chern classes (in degrees $>1$) are torsion, of a flat bundle on a smooth complex projective variety. We consider the case of a smooth quasi--projective variety with an irreducible smooth divisor at infinity. We define the Chern-Simons classes of Deligne's canonical extension of a flat vector bundle with unipotent monodromy at infinity, which lift the Deligne Chern classes and prove that these classes are torsion.
%U http://arxiv.org/abs/0707.0372v2