English

\'Etoiles and Valuations

Algebraic Geometry 2016-12-05 v3 Complex Variables

Abstract

We establish some properties of \'etoiles and associated valuations over complex analytic spaces, showing that Abhyankar's inequality holds. We give some examples of pathological behavior of these valuations. We prove a regularization theorem for complex analytic morphisms.

Keywords

Cite

@article{arxiv.1206.4255,
  title  = {\'Etoiles and Valuations},
  author = {Steven Dale Cutkosky},
  journal= {arXiv preprint arXiv:1206.4255},
  year   = {2016}
}

Comments

24 pages

R2 v1 2026-06-21T21:21:59.573Z