On Space Maximal Curves

Número: 
11
Year: 
2018
Autor: 
Paulo César Oliveira
Fernando Torres
Abstract: 

Any maximal curve X is equipped with an intrinsic embedding π : X → Pr which reveal outstanding properties of the curve. By dealing with the contact divisors of the curve π(X) and tangent lines, in this paper we investigate the first positive element that the Weierstrass semigroup at rational points can have whenever r = 3 and π(X) is contained in a cubic surface.
 

Keywords: 
finite field, St¨ohr-Voloch theory, Hasse-Weil bound, maximal curve
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