Exponential sums and singular hypersurfaces |
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Authors: | Ricardo García López |
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Institution: | (1) Departament d'Algebra i Geometria, Universitat de Barcelona, Gran Via, 585. E-08007 Barcelona, Spain. e-mail: rgarcia@cerber.mat.ub.es, ES |
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Abstract: | We give upper bounds for the absolute value of exponential sums in several variables attached to certain polynomials with
coefficients in a finite field. This bounds are given in terms of invariants of the singularities of the projective hypersurface
defined by its highest degree form. For exponential sums attached to the reduction modulo a power of a large prime of a polynomial
f with integer coefficients and veryfying a certain condition on the singularities of its highest degree form, we give a bound
in terms of the dimension of the Jacobian quotient .
Received: 3 November 1997 |
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Keywords: | Mathematics Subject Classification (1991):Primary 11L07 Secondary 14B05 |
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