The Degrees of Lifts of Curves and Exponential Sums over Galois Rings

نویسنده

  • RÉGIS BLACHE
چکیده

In this paper, we are interested in giving bounds for exponential sums over certain curves defined over Galois rings. We first define summation subsets as the images of lifts of affine pieces of the reduced curve, and most of the work is devoted to giving bounds for the degrees of their defining functions. Then we get bounds for exponential sums, generalizing results of Kumar et al., Winnie Li over the projective line, and Voloch-Walker over elliptic curves and Cab curves.

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تاریخ انتشار 2002