Título inglés |
The moduli space of n tropically collinear points in Rd. |
Título español |
El espacio de moduli de n puntos tropicalmente colineales en Rd. |
Autor/es |
Develin, Mike |
Organización |
Amer. Inst. Math., Palo Alto (California), Estados Unidos |
Revista |
0010-0757 |
Publicación |
2005, 56 (1): 1-19, 10 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
The tropical semiring (R, min, +) has enjoyed a recent renaissance, owing to its connections to mathematical biology as well as optimization and algebraic geometry. In this paper, we investigate the space of labeled n-point configurations lying on a tropical line in d-space, which is interpretable as the space of n-species phylogenetic trees. This is equivalent to the space of n x d matrices of tropical rank two, a simplicial complex. We prove that this simplicial complex is shellable for dimension d = 3 and compute is homology in this case, conjecturing that this complex is shellable in general. We also investigate the space of d x n matrices of Barvinok rank two, a subcomplex directly related to optimization, giving a complete description of this subcomplex in the case d = 3. |
Clasificación UNESCO |
120400 |
Palabras clave español |
Geometría discreta ; Politopos ; Espacio de moduli ; Matrices |
Código Z-Math |
Zbl 1069.52014 |
Acceso al artículo completo |