The case for superelliptic curves
Algebraic Geometry
2015-02-26 v1
Abstract
There is a natural question to ask whether the rich mathematical theory of the hyperelliptic curves can be extended to all superelliptic curves. Moreover, one wonders if all of the applications of hyperelliptic curves such as cryptography, mathematical physics, quantum computation, diophantine geometry, etc can carry over to the superelliptic curves. In this short paper we make the case that the superelliptic curves are exactly the curves that one should study.
Keywords
Cite
@article{arxiv.1502.07249,
title = {The case for superelliptic curves},
author = {Tony Shaska and Eustrat Zhupa and Lubjana Beshaj},
journal= {arXiv preprint arXiv:1502.07249},
year = {2015}
}