Finite phylogenetic complexity and combinatorics of tables

Mateusz Michałek; Emanuele Ventura

doi:10.2140/ant.2017.11.235

Finite phylogenetic complexity and combinatorics of tables

Mateusz Michałek, Emanuele Ventura

Department of Mathematics and Systems Analysis

Polish Academy of Sciences

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

Abstract

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 G a family of toric varieties X(G, K₁,_n). We investigate the generators of their ideals. We show that for any finite abelian group G there exists a constant φ, depending only on G, such that the ideals of X (G, K_1,n) are generated in degree at most φ

Original language	English
Pages (from-to)	235-252
Number of pages	18
Journal	Algebra and Number Theory
Volume	11
Issue number	1
DOIs	https://doi.org/10.2140/ant.2017.11.235
Publication status	Published - 2017
MoE publication type	A1 Journal article-refereed

Keywords

Applied Algebraic Geometry
Convex polytopes
Phylogenetics
Toric varieties

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Finite phylogenetic complexity and combinatorics of tables

Abstract

Keywords

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