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

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.

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

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.
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