Beilinson's Hodge Conjecture for K_1 revisited
| dc.creator | Kang, Su-Jeong | |
| dc.creator | Lewis, James D. | |
| dc.date | 2008-01-21 | |
| dc.date.accessioned | 2026-07-07T08:55:40Z | |
| dc.date.available | 2026-07-07T08:55:40Z | |
| dc.description | Let U be a smooth quasiprojective complex variety and CH^r(U,1) a special instance of Bloch's higher Chow groups. Jannsen was the first to show that the cycle class map cl_{r,1} from CH^r(U,1) (tensored with Q) to hom_{MHS}(Q(0), H^{2r-1}(U,Q(r)) is not in general surjective, contradicting an earlier conjecture of Beilinson. In this paper, we give a refinement of Jannsen's counterexample, and further show that the aforementioned cycle class map becomes surjective at the generic point. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0801.3236 | |
| dc.identifier | http://arxiv.org/abs/0801.3236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146343 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Beilinson's Hodge Conjecture for K_1 revisited | |
| dc.type | text |