A vanishing theorem for Fano varieties in positive characteristic
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 Esn...
| Autor Principal: | |
|---|---|
| Formato: | Journal article |
| Publicado: |
2002
|