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Exponential sums over lifts of points

✍ Scribed by Régis Blache

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
362 KB
Volume
105
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 C ab curves.

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