Biblioteca de la Universidad Complutense de Madrid

A Note on Tropical Triangles in the Plane

Impacto



Puente Muñoz, María Jesús de la y Ansola Fernández-Enríquez, Maria Macarena (2009) A Note on Tropical Triangles in the Plane. Acta Mathematica Sinica. English Series., 25 (11). pp. 1775-1786. ISSN 1439-8516

[img]
Vista previa
PDF
278kB

URL Oficial: http://0-www.springerlink.com.cisne.sim.ucm.es/content/104538/



Resumen

We define transversal tropical triangles (affine and projective) and characterize them via six inequalities to be satisfied by the coordinates of the vertices. We prove that the vertices of a transversal tropical triangle are tropically independent and they tropically span a classical hexagon whose sides have slopes ∞, 0, 1. Using this classical hexagon, we determine a parameter space for transversal tropical triangles. The coordinates of the vertices of a transversal tropical triangle determine a tropically regular matrix. Triangulations of the tropical plane are obtained.


Tipo de documento:Artículo
Palabras clave:Tropical triangles, Tropical triangulation, Linear inequalities, Convexity, Tropical semi-field
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:12801
Depositado:01 Jun 2011 11:26
Última Modificación:20 Ene 2016 15:00

Sólo personal del repositorio: página de control del artículo