On localizations of the characteristic classes of l-adic sheaves and conductor formula in characteristic p>0
| dc.creator | Tsushima, Takahiro | |
| dc.date | 2009-05-12 | |
| dc.date.accessioned | 2026-07-07T13:14:01Z | |
| dc.date.available | 2026-07-07T13:14:01Z | |
| dc.description | The Grothendieck-Ogg-Shafarevich formula calculates the l-adic Euler-Poincare number of an l-adic sheaf on a curve by an invariant produced by the wild ramification of the l-adic sheaf named Swan class. A. Abbes, K. Kato and T. Saito generalize this formula to any dimensional scheme. In this paper, assuming the strong resolution of singularities we prove a localized version of a formula proved by A. Abbes and T. Saito using the characteristic class of an l-adic sheaf. As an application, we prove a conductor formula in equal characteristic. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0905.1753 | |
| dc.identifier | http://arxiv.org/abs/0905.1753 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230079 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | On localizations of the characteristic classes of l-adic sheaves and conductor formula in characteristic p>0 | |
| dc.type | text |