A note on Lawson homology for smooth varieties with small Chow groups
| dc.creator | Hu, Wenchuan | |
| dc.date | 2006-02-23 | |
| dc.date | 2006-03-09 | |
| dc.date.accessioned | 2026-07-07T07:03:42Z | |
| dc.date.available | 2026-07-07T07:03:42Z | |
| dc.description | Let X be a smooth projective variety of dimension n on which rational and homological equivalence coincide for algebraic p-cycles in the range 0\leq p\leq s. We show that the homologically trivial sector of rational Lawson homology L_pH_k(X,Q)_{hom} vanishes for 0\leq n-p\leq s+2. This is an analogue of a theorem of C. Peters in "dual dimensions". Together with Peters' theorem we get that the natural transformation L_pH_k(X,Q)--> H_k(X,Q) is injective for all p and k when X is a smooth projective variety of dimension 4 and Ch_0(X) =Z. | |
| dc.description | 6 pages, add a remark and a reference | |
| dc.identifier | https://arxiv.org/abs/math/0602516 | |
| dc.identifier | http://arxiv.org/abs/math/0602516 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109073 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C15; 14F43 | |
| dc.title | A note on Lawson homology for smooth varieties with small Chow groups | |
| dc.type | text |