The boundary motive: definition and basic properties
| dc.creator | Wildeshaus, J. | |
| dc.date | 2004-08-22 | |
| dc.date | 2005-09-03 | |
| dc.date.accessioned | 2026-07-07T06:30:01Z | |
| dc.date.available | 2026-07-07T06:30:01Z | |
| dc.description | We introduce the notion of the boundary motive of a scheme X over a perfect field. By definition, it measures the difference between the motive X and the motive with compact support of X. We develop three tools to compute the boundary motive in terms of the geometry of a compactification of X: co-localization, invariance under abstract blow-up, and analytical invariance. We then prove auto-duality of the boundary motive of a smooth scheme X. As a formal consequence of this, and of co-localization, we obtain a fourth computational tool, namely localization for the boundary motive. | |
| dc.description | 33 pages; accepted for publication in Comp. Math. Following the request of the referee, a section on the case of normal crossings was added | |
| dc.identifier | https://arxiv.org/abs/math/0408295 | |
| dc.identifier | http://arxiv.org/abs/math/0408295 | |
| dc.identifier | Compositio Math. 142 (2006), 631-656 | |
| dc.identifier | doi:10.1112/S0010437X06001989 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98243 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 14F42 (14C25; 19E15) | |
| dc.title | The boundary motive: definition and basic properties | |
| dc.type | text |