2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110151In 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.14 pagesAlgebraic GeometryNumber Theory11T23,11L03,14G15text