English

Local monodromy in non-archimedean analytic geometry -- fifth release

Algebraic Geometry 2007-05-23 v4 Number Theory

Abstract

We study the topology of the punctured disc defined over a non-archimedean field of characteristic zero. Chapter two includes a new proof of the so-called p-adic Riemann existence theorem. This release completes the study of breaks and break decompositions of the monodromy representation of a sheaf around the origin of the punctured disc.

Keywords

Cite

@article{arxiv.math/0310418,
  title  = {Local monodromy in non-archimedean analytic geometry -- fifth release},
  author = {Lorenzo Ramero},
  journal= {arXiv preprint arXiv:math/0310418},
  year   = {2007}
}

Comments

79 pages, amslatex, uses xypic for diagrams. More misprints and mistakes have been fixed. Several new results have been added. Future corrections and subsequent releases shall also be posted on my home page : http://www.math.u-bordeaux.fr/~ramero The introduction has been completely rewritten. Finally, it's starting to look polished

R2 v1 2026-07-22T16:59:03.031Z