期刊
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
卷 11, 期 -, 页码 -出版社
NATL ACAD SCI UKRAINE, INST MATH
DOI: 10.3842/SIGMA.2015.056
关键词
ultradiscrete; tropical; Painleve; QRT; Cremona
资金
- JSPS KAKENHI Grant [26287018]
- Grants-in-Aid for Scientific Research [26287018] Funding Source: KAKEN
The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise linear transformations that preserve the forms of those rays form tropical rational presentations of groups of affine Weyl type. We present a selection of spiraling polygons with three to eleven sides whose groups of piecewise linear transformations coincide with the Backlund transformations and the evolution equations for the ultradiscrete Painleve equations.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据