A version of geometric motivic integration that specializes to p-adic integration via point counting
| dc.creator | Rökaeus, Karl | |
| dc.date | 2008-10-24 | |
| dc.date.accessioned | 2026-07-07T10:13:05Z | |
| dc.date.available | 2026-07-07T10:13:05Z | |
| dc.description | We give a version of geometric motivic integration that specializes to p-adic integration via point counting. This has been done before for stable sets; we extend this to more general sets. The main problem in doing this is that it requires to take limits, hence the measure will have to take values in a completion of the (localized) Grothendieck ring of varieties. The standard choice is to complete with respect to the dimension filtration; however, since the point counting homomorphism is not continuous with respect to this topology we have to use a stronger one. The first part of the paper is devoted to defining this topology; in the second part we will then see that many of the standard constructions of geometric motivic integration work also in this setting. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0810.4496 | |
| dc.identifier | http://arxiv.org/abs/0810.4496 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172405 | |
| dc.subject | Algebraic Geometry | |
| dc.title | A version of geometric motivic integration that specializes to p-adic integration via point counting | |
| dc.type | text |