This analysis determines the Weierstrass semigroup for points on curves with identical attributes, suggesting new insights into their properties.
We determine the Weierstrass semigroup of a pair (P, Q) of points on a curve of genus g ≧ 4 such that the Weierstrass semigroups of P and Q are the same one, which is a symmetric or quasi-symmetric semigroup whose first non-gap is three.
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Jiryo Komeda (2001) studied this question.
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