Open Access
2013 Sigma Functions for a Space Curve of Type (3,4,5)
Shigeki Matsutani, Jiryo Komeda
J. Geom. Symmetry Phys. 30: 75-91 (2013). DOI: 10.7546/jgsp-30-2013-75-91


In this article, a generalized Kleinian sigma function for an affine $(3,4,5)$ space curve of genus two was constructed as the simplest example of the sigma function for an affine space curve, and in terms of the sigma function, 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 in the Appendix by the second author.


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Shigeki Matsutani. Jiryo Komeda. "Sigma Functions for a Space Curve of Type (3,4,5)." J. Geom. Symmetry Phys. 30 75 - 91, 2013.


Published: 2013
First available in Project Euclid: 26 May 2017

zbMATH: 1311.14033
MathSciNet: MR3113662
Digital Object Identifier: 10.7546/jgsp-30-2013-75-91

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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