On the Jacobian Varieties of Picard curves:: Explicit addition law and algebraic structure

被引:0
作者
Sarlabous, JE [1 ]
Barreiro, ER [1 ]
Barceló, JAP [1 ]
机构
[1] Minist Sci, ICIMAF, Dept Geometry & Combinator, Vedado 10400, C Habana, Cuba
关键词
Picard curves; Jacobian Varieties;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper a system of coordinates for the effective divisors on the Jacobian Variety of a: Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment to obtain an explicit structure of algebraic variety on the Jacobian as well as an efficient algorithm for the addition of divisors.
引用
收藏
页码:149 / 166
页数:18
相关论文
共 16 条
  • [1] [Anonymous], GEOMETRY ARITHMETIC
  • [2] CANTOR DG, 1987, MATH COMPUT, V48, P95, DOI 10.1090/S0025-5718-1987-0866101-0
  • [3] ALGEBRAIC SYSTEMS OF POSITIVE CYCLES IN AN ALGEBRAIC VARIETY
    CHOW, WL
    [J]. AMERICAN JOURNAL OF MATHEMATICS, 1950, 72 (02) : 247 - 283
  • [4] CHOW WL, 1954, AM J MATH, V76, P454
  • [5] Fulton W, 1989, Algebraic Curves
  • [6] HARRIS J, 1992, SPRINGER GRADUATE TE, V133
  • [7] HOLZAPFEL RP, 1994, BALL MODELS SOME HIL
  • [8] HOLZAPFEL RP, 1993, MATH NACHR, V162
  • [9] HOLZAPFEL RP, 1991, P SPEC DIFF EQ ARK
  • [10] HUANG MD, 1991, P 21 ACM S FDN COMP