Decomposition of the diagonal and eigenvalues of Frobenius for Fano hypersurfaces
| dc.creator | Bloch, Spencer | |
| dc.creator | Esnault, Hélène | |
| dc.creator | Levine, Marc | |
| dc.date | 2003-02-10 | |
| dc.date.accessioned | 2026-07-07T04:55:09Z | |
| dc.date.available | 2026-07-07T04:55:09Z | |
| dc.description | Let $X\subset ¶^n$ be a possibly singular hypersurface of degree $d\le n$, defined over a finite field $k$. We show that the diagonal, suitably interpreted, is decomposable. This gives a proof that the eigenvalues of the Frobenius action on its $\ell$-adic cohomology $H^i(\bar{X}, \Q_\ell)$, for $\ell \neq {\rm char}(k)$, are divisible by $q$, without using the result on the existence of rational points by Ax and Katz. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302109 | |
| dc.identifier | http://arxiv.org/abs/math/0302109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66486 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Decomposition of the diagonal and eigenvalues of Frobenius for Fano hypersurfaces | |
| dc.type | text |