Phylogenetic complexity of the Kimura 3-parameter model
DOI10.1016/j.aim.2018.11.021zbMath1412.14031arXiv1704.02584OpenAlexW2964151041MaRDI QIDQ1711925
Emanuele Ventura, Mateusz Michałek
Publication date: 18 January 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02584
Problems related to evolution (92D15) Applications of graph theory (05C90) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)
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- Phylogenetic invariants for \(\mathbb{Z}_3\) scheme-theoretically
- Conformal blocks, Berenstein-Zelevinsky triangles, and group-based models
- Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme
- Ideals of bounded rank symmetric tensors are generated in bounded degree
- Finite phylogenetic complexity and combinatorics of tables
- Finite Gröbner bases in infinite dimensional polynomial rings and applications
- Geometry of phylogenetic group-based models
- A proof of the set-theoretic version of the salmon conjecture
- Relevant phylogenetic invariants of evolutionary models
- Geometry of the Kimura 3-parameter model
- Sagbi bases of Cox-Nagata rings
- On the ideals of equivariant tree models
- Fourier calculus on evolutionary trees
- Geometry of the space of phylogenetic trees
- Plücker varieties and higher secants of Sato's Grassmannian
- Coordinate rings for the moduli stack of \(\mathrm{SL}(\mathbb C)\) quasi-parabolic principal bundles on a curve and toric fiber products
- Finiteness results for abelian tree models
- Constructive degree bounds for group-based models
- Local equations for equivariant evolutionary models
- The algebra of \(\mathrm{SL}_3(\mathbb{C})\) conformal blocks
- Bounded-rank tensors are defined in bounded degree
- Toric fiber products
- On geometry of binary symmetric models of phylogenetic trees
- GL-equivariant modules over polynomial rings in infinitely many variables
- A cognitive network for oracle bone characters related to animals
- Phylogenetic invariants for group-based models
- Hilbert Polynomial of the Kimura 3-Parameter Model
- Introduction to Toric Varieties. (AM-131)
- Polytopes, Rings, and K-Theory
- Toric Ideals of Phylogenetic Invariants
- Estimation of evolutionary distances between homologous nucleotide sequences.
- Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman