Abstract
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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This research was partially supported by a grant of Polish National Science Center (2012/07/ N/ST1/03202).
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Donten-Bury, M. Phylogenetic Invariants for \({\mathbb{Z}_3}\) Scheme-Theoretically. Ann. Comb. 20, 549–568 (2016). https://doi.org/10.1007/s00026-016-0317-x
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DOI: https://doi.org/10.1007/s00026-016-0317-x