Article
Purity of exponential sums on An
Author/s | Rojas León, Antonio |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2006-03 |
Deposit Date | 2016-06-07 |
Published in |
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Abstract | We 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 ... We 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | MTM2004-07203-C02-01 |
Citation | Rojas León, A. (2006). Purity of exponential sums on An. Compositio Mathematica, 142 (2), 295-306. |
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