Kim, Seon Jeong; Komeda, Jiryo The Weierstrass semigroup of a pair and moduli in \(\mathcal {M}_3\). (English) Zbl 1077.14534 Bol. Soc. Bras. Mat., Nova Sér. 32, No. 2, 149-157 (2001). Summary: We classify all the Weierstrass semigroups of a pair of points on a curve of genus 3, by using its canonical model in the plane. Moreover, we count the dimension of the moduli of curves which have a pair of points with a specified Weierstrass semigroup. Cited in 1 ReviewCited in 3 Documents MSC: 14H55 Riemann surfaces; Weierstrass points; gap sequences 14H10 Families, moduli of curves (algebraic) 14H45 Special algebraic curves and curves of low genus 14H50 Plane and space curves PDF BibTeX XML Cite \textit{S. J. Kim} and \textit{J. Komeda}, Bol. Soc. Bras. Mat., Nova Sér. 32, No. 2, 149--157 (2001; Zbl 1077.14534) Full Text: DOI References: [1] E. Arbarello, M. Cornalba, P.A. Griffiths and J. Harris,Geometry of algebraic curves. Vol. I, Springer-Verlag, 1985. · Zbl 0559.14017 [2] M. Homma,The Weierstrass semigroup of a pair of points on a curve. Arch. Math.67: (1996), 337-348. · Zbl 0869.14015 · doi:10.1007/BF01197599 [3] S.J. Kim,On the index of the Weierstrass semigroup of a pair of points on a curve. Arch. Math.62: (1994), 73-82. · Zbl 0815.14020 · doi:10.1007/BF01200442 [4] L. Vermeulen,Weierstrass points of weight two on curves of genus three. Thesis, Amsterdam University, 1983. · Zbl 0534.14010 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.