Infinitely generated Lawson homology groups on some rational projective varieties
| dc.creator | Hu, Wenchuan | |
| dc.date | 2006-02-23 | |
| dc.date.accessioned | 2026-07-07T07:03:42Z | |
| dc.date.available | 2026-07-07T07:03:42Z | |
| dc.description | We construct rational projective 4-dimensional varieties with the property that certain Lawson homology groups tensored with Q are infinite dimensional Q-vector spaces. More generally, each pair of integers p and k, with k\geq 0, p>0, we find a projective variety Y, such that L_pH_{2p+k}(Y) is infinitely generated. We also construct two singular rational projective 3-dimensional varieties Y and Y' with the same homeomorphism type but different Lawson homology groups, specifically L_1H_3(Y) is not isomorphic to L_1H_3(Y')even up to torsion. | |
| dc.description | 14 pages, 0 figure | |
| dc.identifier | https://arxiv.org/abs/math/0602517 | |
| dc.identifier | http://arxiv.org/abs/math/0602517 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109074 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F43; 14C25 | |
| dc.title | Infinitely generated Lawson homology groups on some rational projective varieties | |
| dc.type | text |