Improvements of The Weil Bound For Artin-Schreier Curves

Details Improvements of The Weil Bound For Artin-Schreier Curves Improvements of The Weil Bound For Artin-Schreier Curves

2010-04-13

arxiv.org/abs/1004.2224v4

Mathematics

Algebraic Geometry

revised version, title slightly changed, to appear in Math Ann

Scientific paper

For Artin-Schreier curve y^q -y = f(x) defined over a finite field F_q of q
elements, we show that the Weil bound for the number of the rational points
over extension fields of F_q can often be greatly improved, essentially
removing an extra factor of size about the square root of q in the error term.

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