1112.4137 (Shigeki Matsutani)

Sigma functions for a space curve (3, 4, 5) type with an appendix by J.
Komeda    [PDF]

Shigeki Matsutani

In this article, a generalized Kleinian sigma function for an affine $(3,4,5)$ space curve of genus 2 was constructed as the simplest example of the sigma function for an affine space curve, the Jacobi inversion formulae for the curve are obtained. An interesting relation between a space curve with a semigroup generated by $(6,13,14,15,16)$ and Norton number associated with Monster group is also mentioned with an Appendix by Komeda.

View original: http://arxiv.org/abs/1112.4137