Phylogenetic Trees and the Moduli Space of n Points on the Projective Line

Herwig Hauser; Jiayue Qi; Josef Schicho

Phylogenetic Trees and the Moduli Space of n Points on the Projective Line

Algebraic Geometry 2024-02-07 v1 Combinatorics

Authors: Herwig Hauser , Jiayue Qi , Josef Schicho

Abstract

This is an expository paper. The geometry of phylogenetic trees is used to present in an accessible and pleasant fashion the results of Deligne, Mumford, and Knudsen about the moduli space of n distinct points on the projective line and its compactification, the moduli space of n-pointed stable curves of genus zero.

Keywords

phylogenetic trees moduli space projective line stable curves Deligne-Mumford compactification algebraic geometry

Cite

@article{arxiv.2402.04144,
  title  = {Phylogenetic Trees and the Moduli Space of n Points on the Projective Line},
  author = {Herwig Hauser and Jiayue Qi and Josef Schicho},
  journal= {arXiv preprint arXiv:2402.04144},
  year   = {2024}
}

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60 pages, 30 figures

Phylogenetic Trees and the Moduli Space of n Points on the Projective Line

Abstract

Keywords

Cite

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