English

Monomialization of morphisms and p-adic quantifier elimination

Algebraic Geometry 2011-09-01 v1 Logic Number Theory

Abstract

We give a short proof of Macintyre's Theorem on Quantifier Elimination for the p-adic numbers, using a version of monomialization that follows directly from the Weak Toroidalization Theorem of Abramovich an Karu (extended to non-closed fields).

Cite

@article{arxiv.1108.6237,
  title  = {Monomialization of morphisms and p-adic quantifier elimination},
  author = {Jan Denef},
  journal= {arXiv preprint arXiv:1108.6237},
  year   = {2011}
}

Comments

6 pages

R2 v1 2026-06-21T18:57:48.804Z