Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

In this paper we determine the generalized Weierstrass semigroup \( \widehat{H}(P_{\infty}, P_1, \ldots , P_{m})\), and consequently the Weierstrass semigroup \(H(P_{\infty}, P_1, \ldots , P_{m})\), at \(m+1\) points on the curves \(\mathcal{X}_{a,b,n,s}\) and \(\mathcal{Y}_{n,s}\). These curves has...

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Bibliographic Details
Published inarXiv.org
Main Authors Montanucci, M, Tizziotti, G
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.12.2021
Subjects
Semigroups
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Summary:In this paper we determine the generalized Weierstrass semigroup \( \widehat{H}(P_{\infty}, P_1, \ldots , P_{m})\), and consequently the Weierstrass semigroup \(H(P_{\infty}, P_1, \ldots , P_{m})\), at \(m+1\) points on the curves \(\mathcal{X}_{a,b,n,s}\) and \(\mathcal{Y}_{n,s}\). These curves has been introduced in Tafazolian et al. as new examples of curves which cannot be covered by the Hermitian curve.
ISSN:2331-8422