Toric geometry of the 3-Kimura model for any tree

Details Toric geometry of the 3-Kimura model for any tree Toric geometry of the 3-Kimura model for any tree

2011-02-23

arxiv.org/abs/1102.4733v4

Mathematics

Algebraic Geometry

Scientific paper

In this paper we present geometric features of group based models. We focus on the 3-Kimura model. We present a precise geometric description of the variety associated to any tree on a Zariski open set. In particular this set contains all biologically meaningful points. Our motivation is a conjecture of Sturmfels and Sullivant on the degree in which the ideal associated to 3-Kimura model is generated.

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