Regulators of canonical extensions are torsion: the smooth divisor case
| dc.creator | Iyer, Jaya N. | |
| dc.creator | Simpson, Carlos T. | |
| dc.date | 2007-07-03 | |
| dc.date | 2007-07-04 | |
| dc.date.accessioned | 2026-07-07T08:13:44Z | |
| dc.date.available | 2026-07-07T08:13:44Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/0707.0372 | |
| dc.identifier | http://arxiv.org/abs/0707.0372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132872 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Regulators of canonical extensions are torsion: the smooth divisor case | |
| dc.type | text |