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Pré-Publication, Document De Travail Année : 2007

Regulators of canonical extensions are torsion: the smooth divisor case

Résumé

In this paper, we prove a generalization of Reznikov's theorem on the torsion-property of the Chern-Simons classes and in particular the torsion--property of the Deligne Chern classes (in degrees $>1$). 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 the torsion-property of these classes.
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Dates et versions

hal-00159418 , version 1 (03-07-2007)
hal-00159418 , version 2 (03-07-2007)

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Jaya Iyer, Carlos Simpson. Regulators of canonical extensions are torsion: the smooth divisor case. 2007. ⟨hal-00159418v1⟩
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