A vanishing theorem for Fano varieties in positive characteristic
| dc.creator | Kim, Minhyong | |
| dc.date | 2002-01-20 | |
| dc.date | 2002-07-05 | |
| dc.date.accessioned | 2026-07-07T04:45:59Z | |
| dc.date.available | 2026-07-07T04:45:59Z | |
| dc.description | We prove a Kodaira-type vanishing theorem for the Witt vector sheaf on a Fano variety over a perfect field of characteristic p. As a corollary, we deduce that the number of rational points on a Fano variety over a finite field with q=p^n elements is congruent to 1 mod q. This refines a result of Esnault which say that the number is congruent to 1 mod p. | |
| dc.description | A correct proof of the original vanishing theorem (mod torsion) has been given in the meanwhile by Esnault. This note strengthens that result slightly | |
| dc.identifier | https://arxiv.org/abs/math/0201183 | |
| dc.identifier | http://arxiv.org/abs/math/0201183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63157 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14G05; 11G25 | |
| dc.title | A vanishing theorem for Fano varieties in positive characteristic | |
| dc.type | text |