In algebraic statistics, Jukes–Cantor and Kimura models are of great importance. Sturmfels and Sullivant generalized these models by associating to any finite abelian group a family of toric varieties . We investigate the generators of their ideals. We show that for any finite abelian group there exists a constant , depending only on , such that the ideals of are generated in degree at most .
"Finite phylogenetic complexity and combinatorics of tables." Algebra Number Theory 11 (1) 235 - 252, 2017. https://doi.org/10.2140/ant.2017.11.235