Newton stratification for polynomials: the open stratum
| dc.creator | Blache, Régis | |
| dc.creator | Férard, Eric | |
| dc.date | 2006-03-11 | |
| dc.date.accessioned | 2026-07-07T07:06:47Z | |
| dc.date.available | 2026-07-07T07:06:47Z | |
| dc.description | In this paper we consider the Newton polygons of $L$-functions coming from additive exponential sums associated to a polynomial over a finite field $\F_q$. These polygons define a stratification of the space of polynomials of fixed degree. We determine the open stratum: we give the generic Newton polygon for polynomials of degree $d\geq 2$ when the characteristic $p$ is greater than 3d, and the Hasse polynomial, i.e. the equation defining the hypersurface complementary to the open stratum. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603264 | |
| dc.identifier | http://arxiv.org/abs/math/0603264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110151 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11T23,11L03,14G15 | |
| dc.title | Newton stratification for polynomials: the open stratum | |
| dc.type | text |