Abstract

OLIVEIRA, Paulo César  and  TORRES, Fernando. On space maximal curves. Rev.colomb.mat. [online]. 2019, vol.53, suppl.1, pp.223-235.  Epub Mar 24, 2020. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v53nsupl.84089.

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 fields; Stöhr-Voloch theory; Hasse-Weil bound; maximal curve.

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