On Jacobians of Curves With Superelliptic Components

Authors

L. Beshaj
T. Shaska
Caleb Shor, Western New England UniversityFollow

College

College of Arts and Sciences

Department

Mathematics

Publication Date

2014

Abstract

We construct a family of non-hyperelliptic curves whose Jacobians decomposes into a product of superelliptic Jacobians. This generalizes a construction in [20]. Moreover, we investigate the decomposition of Jacobians of superelliptic curves based on their automorphisms. For a curve given by the equation yⁿ = 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.

Recommended Citation

Beshaj, L.; Shaska, T.; and Shor, Caleb, "On Jacobians of Curves With Superelliptic Components" (2014). Faculty Publications - College of Arts and Sciences. 22.
https://digitalcommons.law.wne.edu/casfacpubs/22