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Weierstrass semigroups on the Giulietti–Korchmáros curve.
- Source :
-
Finite Fields & Their Applications . Jul2018, Vol. 52, p10-29. 20p. - Publication Year :
- 2018
-
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 F q 2 -rational points (already known in the literature), one for the F q 6 ∖ F q 2 -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 F q 6 ∖ F q 2 -rational point. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SEMIGROUPS (Algebra)
*GROUP theory
*CURVES
*MATHEMATICS
*WEIERSTRASS semigroups
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 52
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 129908842
- Full Text :
- https://doi.org/10.1016/j.ffa.2018.03.002