Phylogenetic Invariants for $${\mathbb{Z}_3}$$ Scheme-Theoretically |
| |
Authors: | Maria Donten-Bury |
| |
Institution: | 1.Instytut Matematyki UW,Warszawa,Poland |
| |
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 \({I = I'}\). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|