On Jacobians of curves with superelliptic components

被引：6

作者：

Beshaj, L. ^{[1
]}

Shaska, T. ^{[1
]}

Shor, C. ^{[2
]}

机构：

[1] Oakland Univ, Dept Math, Rochester, MI 48309 USA

[2] Western New England Univ, Dept Math, Springfield, MA 01119 USA

来源：

RIEMANN AND KLEIN SURFACES, AUTOMORPHISMS, SYMMETRIES AND MODULI SPACES | 2014年 / 629卷

关键词：

AUTOMORPHISM GROUPS; RIEMANN SURFACES; GENUS-2;

D O I：

10.1090/conm/629/12557

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a family of non-hyperelliptic curves whose Jacobians decomposes into a product of superelliptic Jacobians. Moreover, we investigate the decomposition of Jacobians of superelliptic curves based on their automorphisms. For a curve given by the equation y(n) = f (x(m)), we provide a necessary and sufficient condition in terms of m and n for the the Jacobian of the curve to decompose.

引用

页码：1 / 14

页数：14

共 20 条

[1] RIEMANN SURFACES WITH AUTOMORPHISM GROUPS ADMITTING PARTITIONS [J].