Hilbert polynomial of the Kimura 3-parameter model

@article{Kubjas2010HilbertPO,
  title={Hilbert polynomial of the Kimura 3-parameter model},
  author={Kaie Kubjas},
  journal={arXiv: Commutative Algebra},
  year={2010}
}
  • Kaie Kubjas
  • Published 2010
  • Mathematics
  • arXiv: Commutative Algebra
  • Buczy\'{n}ska and Wi\'{s}niewski showed that for the Jukes Cantor binary model of a 3-valent tree the Hilbert polynomial depends only on the number of leaves of the tree and not on its shape. We ask if this can be generalized to other group-based models. In this paper we consider the Kimura 3-parameter model and show that the generalization of the statement about the Hilbert polynomials to the Kimura 3-parameter model is not possible as the Hilbert polynomial depends on the shape of a 3-valent… CONTINUE READING

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