Fourier transforms and p-adic "Weil II"
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2002-10-10 | |
| dc.date | 2005-07-20 | |
| dc.date.accessioned | 2026-07-07T04:51:48Z | |
| dc.date.available | 2026-07-07T04:51:48Z | |
| dc.description | Building on work of Crew, we give a rigid cohomological analogue of the main result of Deligne's "Weil II"; this makes it possible to give a purely p-adic proof of the Weil conjectures. Ingredients include a p-adic analogue of Laumon's application of the geometric Fourier transform in the l-adic setting, as well as recent results on p-adic differential equations, due to Andre, Christol, Crew, Kedlaya, Matsuda, Mebkhout, and Tsuzuki. | |
| dc.description | 57 pages; v3: expanded discussion of Grothendieck-Ogg-Shafarevich formula; other light corrections | |
| dc.identifier | https://arxiv.org/abs/math/0210149 | |
| dc.identifier | http://arxiv.org/abs/math/0210149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65239 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F30, 14G10 | |
| dc.title | Fourier transforms and p-adic "Weil II" | |
| dc.type | text |