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
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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 |
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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 |
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