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- W4287776921 abstract "In this paper, we study configurations of three rational points on the Hermitian curve over $mathbb{F}_{q^2}$ and classify them according to their Weierstrass semigroups. For $q>3$, we show that the number of distinct semigroups of this form is equal to the number of positive divisors of $q+1$ and give an explicit description of the Weierstrass semigroup for each triple of points studied. To do so, we make use of two-point discrepancies and derive a criterion which applies to arbitrary curves over a finite field." @default.
- W4287776921 created "2022-07-26" @default.
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- W4287776921 date "2020-05-19" @default.
- W4287776921 modified "2023-09-24" @default.
- W4287776921 title "Triples of rational points on the Hermitian curve and their Weierstrass semigroups" @default.
- W4287776921 doi "https://doi.org/10.48550/arxiv.2005.09706" @default.
- W4287776921 hasPublicationYear "2020" @default.
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