A generalized Kiepert formula for Cab curves

被引：0

作者：

Shigeki Matsutani

Emma Previato

机构：

[1] 8-21-1 Higashi-Linkan,Institut Mittag

[2] The Royal Swedish Academy of Sciences,Leffer

[3] Boston University,Department of Mathematics and Statistics

来源：

Israel Journal of Mathematics | 2009年 / 171卷

关键词：

Riemann Surface; Elliptic Curve; Compact Riemann Surface; Hyperelliptic Curve; Weierstrass Point;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Kiepert (1873) and Brioschi (1864) published algebraic equations for the n-division points of an elliptic curve, in terms of the Weierstrass ℘-function and its derivatives with respect to a uniformizing parameter, or another elliptic function, respectively. We generalize both types of formulas for a compact Riemann surface which, outside from one point, has a smooth polynomial equation in the plane, in the sense that we characterize the points whose n-th multiple in the Jacobian belongs to the theta divisor.

引用

页码：305 / 323

页数：18