Toric geometry of the 3-Kimura model for any tree
نویسنده
چکیده
In this paper we present geometric features of group based phylogenetic models. We address a long standing problem of determining the ideal of the claw tree [SS05], [DK09]. We focus on the 3-Kimura model. In particular we present a precise geometric description of the variety associated to any tree on a Zariski open set. This set contains all biologically meaningful points. The result confirms the conjecture of Sturmfels and Sullivant [SS05] on the degree in which the ideal associated to 3-Kimura model is generated on that set.
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