Phylogenetic Invariants for $${\mathbb{z}_3}$$ Z 3 Scheme-Theoretically
Annals of combinatorics(2016)
摘要
We study phylogenetic invariants of general group-based models of evolution with group of symmetries \({\mathbb{Z}_3}\). We prove that complex 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 [14, Conj. 29], which would imply that \({I = I'}\).
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关键词
13P25,52B20,phylogenetic tree,phylogenetic invariant,group-based model
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