English

Local Monomialization of Analytic Maps

Algebraic Geometry 2016-12-05 v5 Complex Variables

Abstract

In this paper, local monomialization theorems are proven for analytic morphisms of complex and real analytic spaces. This gives the generalization of the local monomialization theorem for morphisms of algebraic varieties over a field of characteristic zero proven in the author's earlier papers "Local monomialization of morphisms", Asterisque 260 (1999) and "Local monomialization of transcendental extensions", Annales de l'institut Fourier, 1517 - 1586.

Keywords

Cite

@article{arxiv.1504.01299,
  title  = {Local Monomialization of Analytic Maps},
  author = {Steven Dale Cutkosky},
  journal= {arXiv preprint arXiv:1504.01299},
  year   = {2016}
}

Comments

56 pages. This is the final version which will appear in Advances in Mathematics

R2 v1 2026-06-22T09:10:49.247Z