Group actions on the tropical Hesse pencil

Atsushi Nobe*

*この研究の対応する著者

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)537-556
ページ数20
ジャーナルJapan Journal of Industrial and Applied Mathematics
33
3
DOI
出版ステータスPublished - 2016 12月 1
外部発表はい

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

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