Numerical semigroups of genus seven and double coverings of curves of genus three

被引：0
|
作者：
Takeshi Harui
Jiryo Komeda
机构：
[1] Kogakuin University,Academic Support Center
[2] Kanagawa Institute of Technology,Department of Mathematics, Center for Basic Education and Integrated Learning
来源：
Semigroup Forum | 2015年 / 90卷
关键词：
Weierstrass semigroups; Numerical semigroups; Double coverings; Plane quartics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The authors determine all possible numerical semigroups at ramification points of double coverings of curves when the covered curve is of genus three and the covering curve is of genus seven, and prove that all of such numerical semigroups are actually of double covering type.
引用
收藏
页码：491 / 502
页数：11
相关论文
共 39 条
  • [21] On the Prym variety of genus 3 covers of genus 1 curves
    Ritzenthaler, Christophe
    Romagny, Matthieu
    EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2018, 2
  • [22] The genus, Frobenius number and pseudo-Frobenius numbers of numerical semigroups of type 2
    Robles-Perez, Aureliano M.
    Carlos Rosales, Jose
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 146 (05) : 1081 - 1090
  • [23] Equivariant cohomology of moduli spaces of genus three curves with level two structure
    Olof Bergvall
    Geometriae Dedicata, 2019, 202 : 165 - 191
  • [24] Equivariant cohomology of moduli spaces of genus three curves with level two structure
    Bergvall, Olof
    GEOMETRIAE DEDICATA, 2019, 202 (01) : 165 - 191
  • [25] On the genus of a quotient of a numerical semigroup
    Adeniran, Ayomikun
    Butler, Steve
    Defant, Colin
    Gao, Yibo
    Harris, Pamela E.
    Hettle, Cyrus
    Liang, Qingzhong
    Nam, Hayan
    Volk, Adam
    SEMIGROUP FORUM, 2019, 98 (03) : 690 - 700
  • [26] On the genus of a quotient of a numerical semigroup
    Ayomikun Adeniran
    Steve Butler
    Colin Defant
    Yibo Gao
    Pamela E. Harris
    Cyrus Hettle
    Qingzhong Liang
    Hayan Nam
    Adam Volk
    Semigroup Forum, 2019, 98 : 690 - 700
  • [27] On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type
    Jiryo Komeda
    Kenta Watanabe
    Semigroup Forum, 2015, 91 : 517 - 523
  • [28] On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type
    Komeda, Jiryo
    Watanabe, Kenta
    SEMIGROUP FORUM, 2015, 91 (02) : 517 - 523
  • [29] New Eliahou Semigroups and Verification of the Wilf Conjecture for Genus up to 65
    Bras-Amoros, Maria
    Rodriguez, Cesar Marim
    MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE (MDAI 2021), 2021, 12898 : 17 - 27
  • [30] Irreducible numerical semigroups with multiplicity three and four
    Víctor Blanco
    Semigroup Forum, 2013, 87 : 407 - 427
1234