Exponential sums over lifts of points |
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Authors: | Régis Blache |
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Institution: | Équipe Algèbre Arithmétique et Applications, Université Antilles Guyane, Campus de Fouillole, 97159 Pointe à Pitre Cedex - FWI, France |
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Abstract: | We give bounds for exponential sums associated to functions on curves defined over Galois rings. We first define summation subsets as the images of lifts of points from affine opens of the reduced curve, and give bounds for the degrees of their coordinate functions. Then we get bounds for exponential sums, extending results of Kumar et al., Winnie Li over the projective line, and Voloch-Walker over elliptic curves and Cab curves. |
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Keywords: | Galois rings Witt vector Artin-Schreier-Witt extensions Exponential sums Curves over Artin ring |
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