On the Grinberg - Kazhdan formal arc theorem
| dc.creator | Drinfeld, Vladimir | |
| dc.date | 2002-03-25 | |
| dc.date.accessioned | 2026-07-07T04:47:17Z | |
| dc.date.available | 2026-07-07T04:47:17Z | |
| dc.description | Let X be an algebraic variety over a field k, and L(X) be the scheme of formal arcs in X. Let f be an arc whose image is not contained in the singularities of X. Grinberg and Kazhdan proved that if k has characteristic 0 then the formal neighborhood of f in L(X) admits a decomposition into a product of an infinite-dimensional smooth piece and a piece isomorphic to the formal neighborhood of a closed point of a scheme of finite type. We give a short proof of this theorem without the characteristic 0 assumption. | |
| dc.description | 4 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0203263 | |
| dc.identifier | http://arxiv.org/abs/math/0203263 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63655 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the Grinberg - Kazhdan formal arc theorem | |
| dc.type | text |