A tropical analogue of the Hessian group
Exactly Solvable and Integrable Systems
2018-02-06 v1
Abstract
We investigate a tropical analogue of the Hessian group , the group of linear automorphisms acting on the Hesse pencil. Through the procedure of ultradiscretization, the group law on the Hesse pencil reduces to that on the tropical Hesse pencil. We then show that the dihedral group of degree three is the group of linear automorphisms acting on the tropical Hesse pencil.
Keywords
Cite
@article{arxiv.1104.0999,
title = {A tropical analogue of the Hessian group},
author = {Atsushi Nobe},
journal= {arXiv preprint arXiv:1104.0999},
year = {2018}
}
Comments
6 pages, 2 figures, submitted to "New developments of nonlinear waves -- phenomena and modeling (RIAM, Kyushu University, October 28-30, 2010)" proceedings