English

Berkovich spaces and Deligne-Mumford compactification

Dynamical Systems 2015-06-09 v1

Abstract

We explicit the relation between the dynamics the Berkovich projective line over the completion of the field of formal Puiseux series and the space dynamical systems between trees of spheres known to be equivalent to the Deligne-Mumford compactification of the Moduli space of marked spheres.

Keywords

Cite

@article{arxiv.1506.02552,
  title  = {Berkovich spaces and Deligne-Mumford compactification},
  author = {Matthieu Arfeux},
  journal= {arXiv preprint arXiv:1506.02552},
  year   = {2015}
}

Comments

23 pages, 3 figures

R2 v1 2026-06-22T09:49:22.399Z