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

Acta Arithmetica (1997)

- Volume: 81, Issue: 3, page 275-297
- ISSN: 0065-1036

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topJiryo Komeda. "Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points." Acta Arithmetica 81.3 (1997): 275-297. <http://eudml.org/doc/207066>.

@article{JiryoKomeda1997,

author = {Jiryo Komeda},

journal = {Acta Arithmetica},

keywords = {total ramification point; cyclic covering; smooth curve; Weierstrass points; gap sequence},

language = {eng},

number = {3},

pages = {275-297},

title = {Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points},

url = {http://eudml.org/doc/207066},

volume = {81},

year = {1997},

}

TY - JOUR

AU - Jiryo Komeda

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

JO - Acta Arithmetica

PY - 1997

VL - 81

IS - 3

SP - 275

EP - 297

LA - eng

KW - total ramification point; cyclic covering; smooth curve; Weierstrass points; gap sequence

UR - http://eudml.org/doc/207066

ER -

## References

top- [1] M. Coppens, The Weierstrass gap sequences of the total ramification points of trigonal coverings of ℙ¹, Indag. Math. 47 (1985), 245-276. Zbl0592.14025
- [2] T. Kato, On Weierstrass points whose first non-gaps are three, J. Reine Angew. Math. 316 (1980), 99-109. Zbl0419.30037
- [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. Zbl0649.14009
- [4] J. Komeda, On Weierstrass points whose first non-gaps are four, J. Reine Angew. Math. 341 (1983), 68-86. Zbl0498.30053
- [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. Zbl0849.14011
- [7] J. Komeda, Non-Weierstrass numerical semigroups, preprint. Zbl0922.14022
- [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. Zbl0304.14006

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