|
Título:
|
A Note on Tropical Triangles in the Plane
|
|
Autores:
|
Puente Muñoz, María Jesús de la ;
Ansola Fernández-Enríquez, Maria Macarena
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Springer Verlag, 2009-11
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Geometria algebraica
,
Tipo = Artículo
|
|
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.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/12801/1/2009anote.pdf
|
