Phylogenetic Invariants for $${\mathbb{Z}_3}$$ Z 3 Scheme-Theoretically

Abstract

Abstract.We study phylogenetic invariants of general group-based models of evolution with group of symmetries 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 .

Finite phylogenetic complexity ofZpand invariants forZ3Michałek1 2017European Journal of Combinatorics2010View full textAdd to dashboardCite

“…For real data applications of phylogenetic invariants we refer for example to [RH12]. We would also like to mention that a related result was recently obtained by Donten-Bury in [DB16] on scheme-theoretic level.…”

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