On Symmetric Plane Quartic Curves

被引:0
|
作者
Janasz, Marek [1 ]
机构
[1] Univ Natl Educ Commiss Krakow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2025年 / 29卷 / 01期
关键词
plane quartic curves; line arrangements; singularities;
D O I
10.11650/tjm/240707
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we study the geometry of plane quartics with large automorphism groups. We show results devoted to smooth plane quartics that are invariant under the action of the elementary Abelian group of type [2, 2, 2]. Then we study geometric properties of the smooth plane quartic having automorphism group of order 48.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 50 条
  • [1] Explicit computations of invariants of plane quartic curves
    Elsenhans, Andreas-Stephan
    JOURNAL OF SYMBOLIC COMPUTATION, 2015, 68 : 109 - 115
  • [2] Area-preserving evolution of nonsimple symmetric plane curves
    Wang, Xiao-Liu
    Kong, Ling-Hua
    JOURNAL OF EVOLUTION EQUATIONS, 2014, 14 (02) : 387 - 401
  • [3] On pseudo symmetric monomial curves
    Sahin, Mesut
    Sahin, Nil
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (06) : 2561 - 2573
  • [4] Automorphism groups of plane curves
    Bradley, MJ
    D'Souza, HJ
    COMMUNICATIONS IN ALGEBRA, 2004, 32 (08) : 2885 - 2894
  • [5] Symmetrization of convex plane curves
    Giblin, Peter
    Janeczko, Stanislaw
    PURE AND APPLIED MATHEMATICS QUARTERLY, 2020, 16 (05) : 1791 - 1811
  • [6] ON VERTICES AND INFLECTIONS OF PLANE CURVES
    Dias, Fabio Scalco
    Tari, Farid
    JOURNAL OF SINGULARITIES, 2018, 17 : 70 - 80
  • [7] Bifurcation braid monodromy of plane curves
    Loenne, Michael
    COMPLEX AND DIFFERENTIAL GEOMETRY, 2011, 8 : 235 - 255
  • [8] Rational plane curves parameterizable by conics
    Cortadellas Benitez, Teresa
    D'Andrea, Carlos
    JOURNAL OF ALGEBRA, 2013, 373 : 453 - 480
  • [9] Pedal curves of frontals in the Euclidean plane
    Li, Yanlin
    Pei, Donghe
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (05) : 1988 - 1997
  • [10] MINKOWSKI SYMMETRY SETS OF PLANE CURVES
    Reeve, Graham Mark
    Tari, Farid
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2017, 60 (02) : 461 - 480