Phylogenetic Invariants for $${\mathbb{Z}_3}$$ Z 3 Scheme-Theoretically
| Autor: | Maria Donten-Bury |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Conjecture
Degree (graph theory) Mathematics::Commutative Algebra Group (mathematics) 010102 general mathematics 0102 computer and information sciences 01 natural sciences Combinatorics 010201 computation theory & mathematics Scheme (mathematics) Homogeneous space Phylogenetic invariants Quantitative Biology::Populations and Evolution Discrete Mathematics and Combinatorics Ideal (ring theory) 0101 mathematics Mathematics |
| Zdroj: | Annals of Combinatorics. 20(3):549-568 |
| ISSN: | 0218-0006 |
| DOI: | 10.1007/s00026-016-0317-x |
| Popis: | We study phylogenetic invariants of general group-based models of evolution with group of symmetries \({\mathbb{Z}_3}\). We prove that complex projective schemes corresponding to the ideal I of phylogenetic invariants of such a model and to its subideal \({I'}\) generated by elements of degree at most 3 are the same. This is motivated by a conjecture of Sturmfels and Sullivant [14, Conj. 29], which would imply that \({I = I'}\). |
| Databáze: | OpenAIRE |
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