Abstract | ||
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In this article we explicitly determine the structure of the Weierstrass semigroups H(P) for any point P of the Giulietti–Korchmáros curve X. We show that as the point varies, exactly three possibilities arise: one for the Fq2-rational points (already known in the literature), one for the Fq6∖Fq2-rational points, and one for all remaining points. As a result, we prove a conjecture concerning the structure of H(P) in case P is an Fq6∖Fq2-rational point. |
Year | DOI | Venue |
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2018 | 10.1016/j.ffa.2018.03.002 | Finite Fields and Their Applications |
Keywords | Field | DocType |
primary,secondary | Topology,Weierstrass functions,Mathematical analysis,Conjecture,Mathematics | Journal |
Volume | ISSN | Citations |
52 | 1071-5797 | 1 |
PageRank | References | Authors |
0.36 | 1 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Peter Beelen | 1 | 116 | 15.95 |
maria montanucci | 2 | 6 | 4.91 |