On the motive of the Hilbert scheme of points on a surface
| dc.creator | Goettsche, Lothar | |
| dc.date | 2000-07-07 | |
| dc.date | 2000-07-25 | |
| dc.date.accessioned | 2026-07-07T04:36:17Z | |
| dc.date.available | 2026-07-07T04:36:17Z | |
| dc.description | We determine the class of the Hilbert scheme of points on a surface in the Grothendieck group of varieties. As a corollary we obtain its class in the Grothendieck group of motives. We give some applications to moduli spaces of sheaves on surfaces. The paper is related to math/0005249 of de Cataldo and Migliorini. | |
| dc.description | 15 pages, Latex. The paper is the same as yesterdays revised version. Only these comments are corrected. The first version of the paper contained a wrong proof that the class of a motive in the Grothendieck group of motives determines its Chow groups with rational coefficients. The mistake was pointed out by B. Totaro. We include a proof also due to B. Totaro that the above statement follows from a conjecture of Beilinson and Murre | |
| dc.identifier | https://arxiv.org/abs/math/0007043 | |
| dc.identifier | http://arxiv.org/abs/math/0007043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59544 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the motive of the Hilbert scheme of points on a surface | |
| dc.type | text |