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 been intr...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
15.12.2021
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Subjects | |
Online Access | Get full text |
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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. |
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DOI: | 10.48550/arxiv.2112.08137 |