Archivio Istituzionale della RicercaIn 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
Finite phylogenetic complexity and combinatorics of tables / Michalek, M.; Ventura, E.. - In: ALGEBRA & NUMBER THEORY. - ISSN 1937-0652. - 11:1(2017), pp. 235-252. [10.2140/ant.2017.11.235]
Finite phylogenetic complexity and combinatorics of tables
Ventura E.
2017
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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https://hdl.handle.net/11583/2958167