Weierstrass semigroups at every point of the Suzuki curve
Abstract
In this article we explicitly determine the structure of the Weierstrass semigroups H(P)for any point Pof the Suzuki curve \mathcal{S}_q As the point Pvaries, exactly two possibilities arise for H(P) one for the \mathbb{F}_qrational points (already known in the literature), and one for all remaining points. For this last case a minimal set of generators of H(P)is also provided. As an application, we construct dual one-point...
Paper Details
Title
Weierstrass semigroups at every point of the Suzuki curve
Published Date
Jan 1, 2021
Journal
Volume
197
Issue
1
Pages
1 - 20
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