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arXiv · 0707.0372

Regulators of canonical extensions are torsion: the smooth divisor case

Jaya N. Iyer·Carlos T. Simpson
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Abstract

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.

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BibTeXRIS

Jaya N. Iyer, Carlos T. Simpson. 2007-07-04. Regulators of canonical extensions are torsion: the smooth divisor case. https://arxiv.org/abs/0707.0372

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