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Exponential sums and singular hypersurfaces (1998)

García López, Ricardo

Springer

Manuscripta mathematica 97 (1998), S. 45-58

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ISSN: 1432-1785

Keywords: Mathematics Subject Classification (1991):Primary 11L07; Secondary 14B05

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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 .

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s002290050084

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