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Local description of phylogenetic group-based models

Autor
Casanellas, M.; Fernández-Sánchez, J.; Michalek, M.
Tipus d'activitat
Document cientificotècnic
Data
2013-12
Projecte finançador
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Repositori
http://hdl.handle.net/2117/22383 Obrir en finestra nova
Resum
Motivated by phylogenetics, our aim is to obtain a system of equations that de ne a phylogenetic variety on an open set containing the biologically meaningful points. In this paper we consider phylogenetic varieties de ned via group-based models. For any nite abelian group G, we provide an explicit construction of codimX phylogenetic invariants (polynomial equations) of degree at most jGj that de ne the variety X on a Zariski open set U. The set U contains all biologically meaningful points whe...
Citació
Casanellas, M.; Fernández-Sánchez, J.; Michalek, M. "Local description of phylogenetic group-based models". 2013.
Paraules clau
Group-based Model, Phylogenetic Invariant, Toric Variety
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

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