Title
Weierstrass semigroups on the Giulietti-Korchmáros curve.
Abstract
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
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 Beelen111615.95
maria montanucci264.91