Exponential sums on A_n. III

We give two applications of our earlier work [4]. We compute the p-adic cohomology of certain exponential sums on Aⁿ involving a polynomial whose homogeneous component of highest degree defines a projective hypersurface with at worst weighted homogeneous isolated singularities. This study was motivated by recent work of García [9]. We also compute the p-adic cohomology of certain exponential sums on Aⁿ whose degree is divisible by the characteristic.