Abstract
Addition of points on the tropical Hesse curve is realized via its intersections with two tropical lines. Then the addition formula for the points on the curve is reduced from the one for the level-three theta functions through the ultradiscretization procedure. In addition, a tropical analogue of the Hessian group G216, the group of linear automorphisms acting on the Hesse pencil, is investigated; it is shown that the dihedral group D3 of degree three is the group of linear automorphisms acting on the tropical Hesse pencil.
Original language | English |
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Pages (from-to) | 537-556 |
Number of pages | 20 |
Journal | Japan Journal of Industrial and Applied Mathematics |
Volume | 33 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2016 Dec 1 |
Externally published | Yes |
Keywords
- Hesse pencil
- Hessian group
- QRT system
- Theta function
- Tropical curve
- Ultradiscretization
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics