English

La structure des courbes analytiques

Algebraic Geometry 2024-05-20 v1

Abstract

This is a work in progress, far from being in its final form whose purpose is to investigate thoroughly the structure of Berkovich analytic curves and its relation with the semi-stable reduction theorem (of which a new proof is given here, starting from the local study of Berkovich curves) through the formalism of "triangulations". It has been already on the author's webpage for years, but it seems better to make it available on a public preprint server.

Keywords

Cite

@article{arxiv.2405.10619,
  title  = {La structure des courbes analytiques},
  author = {Antoine Ducros},
  journal= {arXiv preprint arXiv:2405.10619},
  year   = {2024}
}

Comments

French, 357 p

R2 v1 2026-06-28T16:30:33.224Z