2014/05/16 by Maria Donten-Bury, Donten-Bury, Maria
Mathematics · #13P25 #52B20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.CO #msc:13P25 #msc:52B20
paper · pdf · doi:10.48550/arxiv.1405.4169
17 pages; v2: exposition significantly improved
openalex publication_date 2014/05/16 · arxiv created 2015/09/29 · arxiv updated 2015/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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'.