Puente Muñoz, María Jesús de la and Ansola FernándezEnríquez, Maria Macarena (2009) A Note on Tropical Triangles in the Plane. Acta Mathematica Sinica. English Series., 25 (11). pp. 17751786. ISSN 14398516

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Abstract
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.
Item Type:  Article 

Uncontrolled Keywords:  Tropical triangles, Tropical triangulation, Linear inequalities, Convexity, Tropical semifield 
Subjects:  Sciences > Mathematics > Algebraic geometry 
ID Code:  12801 
Deposited On:  01 Jun 2011 11:26 
Last Modified:  20 Jan 2016 15:00 
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