Toric geometry of the 3-Kimura model for any tree

DOI10.1515/advgeom-2013-0018zbMath1300.14051arXiv1102.4733OpenAlexW2056012050MaRDI QIDQ5395974

Mateusz Michałek

Publication date: 5 February 2014

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4733

zbMATH Keywords

toric varietiesidentifiabilityphylogenetic invariantsKimura 3-parameter model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (7)

Local equations for equivariant evolutionary models ⋮ Finite phylogenetic complexity of \(\mathbb{Z}_p\) and invariants for \(\mathbb{Z}_3\) ⋮ Gorenstein property for phylogenetic trivalent trees ⋮ On the graph labellings arising from phylogenetics ⋮ H-Representation of the Kimura-3 Polytope for the $m$-Claw Tree ⋮ Normality of the Kimura 3-Parameter Model ⋮ Low degree equations for phylogenetic group-based models

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