Toric geometry of the 3-Kimura model for any tree
Algebraic Geometry
2014-02-17 v4 Populations and Evolution
Abstract
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.
Keywords
Cite
@article{arxiv.1102.4733,
title = {Toric geometry of the 3-Kimura model for any tree},
author = {Mateusz Michalek},
journal= {arXiv preprint arXiv:1102.4733},
year = {2014}
}