Motivic Weight Complexes for Arithmetic Varieties
| dc.creator | Gillet, Henri | |
| dc.creator | Soulé, Christophe | |
| dc.date | 2008-04-30 | |
| dc.date | 2009-05-28 | |
| dc.date.accessioned | 2026-07-07T13:18:22Z | |
| dc.date.available | 2026-07-07T13:18:22Z | |
| dc.description | We associate weight complexes of (homological) motives, and hence Euler characteristics in the Grothendieck group of motives, to arithmetic varieties and Deligne-Mumford stacks; this extends the results in the paper "Descent, Motives and K-theory" in volume 478 of Crelle, where a similar result was proved for varieties over a field of characteristic zero. We use K_0-motives with rational coefficients, rather than Chow motives, because we cannot appeal to resolution of singularities, but rather must use de Jong's results. In addition, for varieties over a field we prove a general result on contravariance of weight complexes, in particular showing that any morphism of finite tor-dimension between varieties induces a morphism of weight complexes. | |
| dc.description | 52 pages. Proofs in section 56 have been clarified and a new section on Chow motives has been added | |
| dc.identifier | https://arxiv.org/abs/0804.4853 | |
| dc.identifier | http://arxiv.org/abs/0804.4853 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231405 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C35; 14D10; 19E08; 19E15 | |
| dc.title | Motivic Weight Complexes for Arithmetic Varieties | |
| dc.type | text |