Un critère d'extension d'un foncteur défini sur les schémas lisses
| dc.creator | Guillén, F. | |
| dc.creator | Aznar, V. Navarro | |
| dc.date | 1995-05-05 | |
| dc.date.accessioned | 2026-07-07T09:06:29Z | |
| dc.date.available | 2026-07-07T09:06:29Z | |
| dc.description | Let $k$ be a field of characteristic zero. By using Hironaka's desingularisation theorem, we prove an extension criterion for a functor defined on nonsingular k-schemes and taking values on a category of complexes. Roughly speaking, the criterion shows that if such a functor satisfies the standard exact sequence of a blowing-up, then the functor can be extended to all separated k-schemes of finite type. The result is applied to the Grothendieck's theory of motives, to the Hodge-De Rham filtered complex of an analytic space, and to the rational homotopy of k-schemes in algebraic De Rham theory. | |
| dc.description | 37 pages, AMSTeX v 2.1 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9505008 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9505008 | |
| dc.identifier | see the final version in Publ. math., IHES, 95 (2002) 1, 1-91 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150024 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14A20, 14C30, 14F35 (Primary) 19F35 (Secondary) | |
| dc.title | Un critère d'extension d'un foncteur défini sur les schémas lisses | |
| dc.type | text |