2016-06-072016-06-072006-03Rojas León, A. (2006). Purity of exponential sums on An. Compositio Mathematica, 142 (2), 295-306.0010-437X1570-5846http://hdl.handle.net/11441/41998We give a purity result for two kinds of exponential sums of the type ∑x∈knψ(f(x)), where k is a finite field of characteristic p and ψ:k→C⋆ is a non-trivial additive character. In the first case, f∈k[x1,…,xn] is a polynomial of degree divisible by p whose highest-degree homogeneous form defines a non-singular projective hypersurface, and in the second case, f is a polynomial of degree prime to p whose highest-degree homogeneous form defines a projective hypersurface with isolated singularities.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/exponential sumsl-adic cohomologyinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.1112/S0010437X05001697https://idus.us.es/xmlui/handle/11441/41998