On exponential sums
| dc.creator | Lopez, Ricardo Garcia | |
| dc.date | 1997-02-06 | |
| dc.date.accessioned | 2026-07-07T09:07:10Z | |
| dc.date.available | 2026-07-07T09:07:10Z | |
| dc.description | Let f be a polinomial with coefficients in a finite field F. Let $Ψ: F \to C^{\ast}$ be a non-trivial additive character. In this paper we give bounds for the exponential sums $\sum_{x\in F^n} Ψ(Tr_{F/F_p} (f(x)))$ in some cases where the highest degree form of f defines a singular projective hypersurface X (e.g. when X is an arrangement of lines in P^2). The bound involves the Milnor numbers of the singularities of X. The proof goes via the classical cohomological interpretation of this exponential sums through Grothendieck's trace formula. | |
| dc.description | Latex 2.09, 15 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9702006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9702006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150276 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On exponential sums | |
| dc.type | text |