Abstract
We give explicit bounds useful in estimating the number of points on a (possibly singular) space curve defined over a finite field. Our estimates involve the degrees of the polynomials defining the curve set-theoretically, and reduce to Weil's well-known estimate for nonsingular complete intersection curves.
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Bach, E. Weil bounds for singular curves. AAECC 7, 289–298 (1996). https://doi.org/10.1007/BF01195534
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DOI: https://doi.org/10.1007/BF01195534