Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points

• Autorzy: Jiryo Komeda
• Języki publikacji: EN

Kategorie tematyczne

• 14H55: Riemann surfaces; Weierstrass points; gap sequences
• 14H30: Coverings, fundamental group
• 11A05: Multiplicative structure; Euclidean algorithm; greatest common divisors
• 14H52: Elliptic curves

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 81
• Numer: 3
• Strony: 275-297

Daty

wydano

1997

otrzymano

1996-11-26

Twórcy

autor

Jiryo Komeda

• Department of Mathematics, Kanagawa Institute of Technology, Shimo-ogino 1030, Atsugi-shi, Kanagawa 243-02, Japan

Bibliografia

• [1] M. Coppens, The Weierstrass gap sequences of the total ramification points of trigonal coverings of ℙ¹, Indag. Math. 47 (1985), 245-276.
• [2] T. Kato, On Weierstrass points whose first non-gaps are three, J. Reine Angew. Math. 316 (1980), 99-109.
• [3] T. Kato and R. Horiuchi, Weierstrass gap sequences at the ramification points of trigonal Riemann surfaces, J. Pure Appl. Algebra 50 (1988), 271-285.
• [4] J. Komeda, On Weierstrass points whose first non-gaps are four, J. Reine Angew. Math. 341 (1983), 68-86.
• [5] J. Komeda, Numerical semigroups and non-gaps of Weierstrass points, Res. Rep. Ikutoku Tech. Univ. B-9 (1985), 89-94.
• [6] J. Komeda, On the existence of Weierstrass gap sequences on curves of genus ≤ 8, J. Pure Appl. Algebra 97 (1994), 51-71.
• [7] J. Komeda, Non-Weierstrass numerical semigroups, preprint.
• [8] I. Kuribayashi and K. Komiya, Automorphisms of a compact Riemann surface with one fixed point, Res. Rep. Fac. Educ. Yamanashi Univ. 34 (1983), 5-9.
• [9] H. Pinkham, Deformations of algebraic varieties with $G_m$ action, Astérisque 20 (1974), 1-131.