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2017 Finite phylogenetic complexity and combinatorics of tables
Mateusz Michałek, Emanuele Ventura
Algebra Number Theory 11(1): 235-252 (2017). DOI: 10.2140/ant.2017.11.235

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,K1,n) are generated in degree at most ϕ.

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Mateusz Michałek. Emanuele Ventura. "Finite phylogenetic complexity and combinatorics of tables." Algebra Number Theory 11 (1) 235 - 252, 2017. https://doi.org/10.2140/ant.2017.11.235

Information

Received: 23 June 2016; Revised: 1 October 2016; Accepted: 12 November 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1374.14041
MathSciNet: MR3602770
Digital Object Identifier: 10.2140/ant.2017.11.235

Subjects:
Primary: 52B20
Secondary: 13P25, 14M25

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.11 • No. 1 • 2017
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