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- W128458420 abstract "Morrison and Pinkham [5] gave a characterization of the semi-groups of Galois Weierstrass points, i.e., total ramification points of cyclic coverings of the projective line of degree n. They showed that such a semigroup must satisfy certain equalities, which we call the M-P equalities in this paper, and that the converse holds for any prime n = p ≤7. In this paper we consider the case when n = p is a prime number ≥ 11. In the case p = 11 we investigate whether a primitive numerical semigroup satisfying the M-P equalities is the semigroup of a Galois Weierstrass point. For each prime p ≥ 13, we give a Weierstrass semigroup which satisfies the M-P equalities but is not the semigroup of a Galois Weierstrass point. For these, we study the semigroups of Galois Weierstrass points using the equations defining curves which are cyclic covering of the projective line of degree p." @default.
- W128458420 created "2016-06-24" @default.
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- W128458420 date "2000-01-01" @default.
- W128458420 modified "2023-09-24" @default.
- W128458420 title "Non-Cyclic Weierstrass Semigroups" @default.
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- W128458420 doi "https://doi.org/10.1007/978-1-4613-0271-1_22" @default.
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