Phylogenetic invariants for $\mathbb{Z}_3$ scheme-theoretically
Algebraic Geometry
2015-09-30 v2 Combinatorics
Abstract
We study phylogenetic invariants of models of evolution whose group of symmetries is the cyclic group with 3 elements. We prove that projective schemes corresponding to the ideal I of phylogenetic invariants of such a model and to its subideal I' generated by elements of degree at most 3 are the same. This is motivated by a conjecture of Sturmfels and Sullivant, which would imply that I = I'.
Keywords
Cite
@article{arxiv.1405.4169,
title = {Phylogenetic invariants for $\mathbb{Z}_3$ scheme-theoretically},
author = {Maria Donten-Bury},
journal= {arXiv preprint arXiv:1405.4169},
year = {2015}
}
Comments
17 pages; v2: exposition significantly improved