Algebraic cycles and Connes periodicity
| dc.creator | Park, Jinhyun | |
| dc.date | 2006-07-12 | |
| dc.date.accessioned | 2026-07-07T07:18:16Z | |
| dc.date.available | 2026-07-07T07:18:16Z | |
| dc.description | We apply the classical technique on cyclic objects of Alain Connes to various objects, in particular to the higher Chow complex of S. Bloch to prove a Connes periodicity long exact sequence involving motivic cohomology groups. The Cyclic higher Chow groups and the Connes higher Chow groups of a variety are defined in the process and various properties of them are deduced from the known properties of the higher Chow groups. Applications include an equivalent reformulation of the Beilinson-Soulé vanishing conjecture for the motivic cohomology groups of a smooth variety $X$ and a reformulation of the conjecture of Soulé on the order of vanishing of the zeta function of an arithmetic variety. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607272 | |
| dc.identifier | http://arxiv.org/abs/math/0607272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114236 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 14C25; 19D55 | |
| dc.title | Algebraic cycles and Connes periodicity | |
| dc.type | text |