On reducible non-Weierstrass semigroups

被引:1
|
作者
Ignacio Garcia-Garcia, Juan [1 ]
Marin-Aragon, Daniel [2 ]
Torres, Fernando [3 ]
Vigneron-Tenorio, Alberto [1 ]
机构
[1] Univ Cadiz, Dept Matemat, INDESS Inst Univ Desarrollo Social Sostenible, E-11406 Cadiz, Spain
[2] Univ Cadiz, Dept Matemat, E-11510 Cadiz, Spain
[3] IMECC UNICAMP, R Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil
来源
OPEN MATHEMATICS | 2021年 / 19卷 / 01期
关键词
additive combinatorics; Buchweitz semigroup; numerical semigroup; pseudo-Frobenius number; Weierstrass points; Weierstrass semigroup;
D O I
10.1515/math-2021-0111
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Weierstrass semigroups are well known along the literature. We present a new family of non- Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups. In addition, we provide methods for computing non-Weierstrass semigroups with genus as large as desired.
引用
收藏
页码:1134 / 1144
页数:11
相关论文
共 38 条
  • [1] Non-cyclic Weierstrass semigroups
    Kim, SJ
    Komeda, J
    PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 993 - 1005
  • [2] The proportion of Weierstrass semigroups
    Kaplan, Nathan
    Ye, Lynnelle
    JOURNAL OF ALGEBRA, 2013, 373 : 377 - 391
  • [3] Weierstrass semigroups on the Skabelund maximal curve
    Beelen, Peter
    Landi, Leonardo
    Montanucci, Maria
    FINITE FIELDS AND THEIR APPLICATIONS, 2021, 72
  • [4] Weierstrass semigroups on the Giulietti-Korchmaros curve
    Beelen, Peter
    Montanucci, Maria
    FINITE FIELDS AND THEIR APPLICATIONS, 2018, 52 : 10 - 29
  • [5] On -Hyperelliptic Weierstrass Semigroups of Genus and
    Komeda, Jiryo
    Ohbuch, Akira
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2017, 48 (02): : 209 - 218
  • [6] THE WEIERSTRASS SEMIGROUPS ON DOUBLE COVERS OF GENUS TWO CURVES
    Harui, Takeshi
    Komeda, Jiryo
    Ohbuchi, Akira
    TSUKUBA JOURNAL OF MATHEMATICS, 2015, 38 (02) : 201 - 206
  • [7] The uniqueness of Weierstrass points with semigroup ⟨a; b⟩ and related semigroups
    Coppens, Marc
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2019, 89 (01): : 1 - 16
  • [8] Weierstrass semigroups from Kummer extensions
    Yang, Shudi
    Hu, Chuangqiang
    FINITE FIELDS AND THEIR APPLICATIONS, 2017, 45 : 264 - 284
  • [9] Weierstrass Semigroups Satisfying MP Equalities and Curves on Toric Surfaces
    Ryo Kawaguchi
    Jiryo Komeda
    Bulletin of the Brazilian Mathematical Society, New Series, 2020, 51 : 107 - 123
  • [10] Weierstrass Semigroups Satisfying MP Equalities and Curves on Toric Surfaces
    Kawaguchi, Ryo
    Komeda, Jiryo
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (01): : 107 - 123