J ul 2 00 7 REGULATORS OF CANONICAL EXTENSIONS ARE TORSION : THE SMOOTH DIVISOR CASE
نویسنده
چکیده
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) of a flat vector bundle on a smooth complex projective variety. We consider the case of a smooth quasi–projective variety with an ir-reducible smooth divisor at infinity. We define the Chern-Simons classes of the 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.
منابع مشابه
Regulators of Canonical Extensions Are Torsion: the Smooth Divisor Case
In this note, we report on a work jointly done with C. Simpson on 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 vector 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 defi...
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