2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79044We prove a vanishing theorem for the p-adic cohomology of exponential sums on affine space. In particular, we obtain new classes of exponential sums on affine space that have a single nonvanishing p-adic cohomology group. The dimension of this cohomology group equals a sum of Milnor numbers.24 pp., LaTeX2eAlgebraic GeometryNumber Theory11L07, 11T23, 14F20, 14F30text