The Abhyankar–Jung theorem for excellent henselian subrings of formal power series
Volume 98 / 2010
Annales Polonici Mathematici 98 (2010), 221-229
MSC: 13F25, 13F40.
DOI: 10.4064/ap98-3-2
Abstract
Given an algebraically closed field $K$ of characteristic zero, we prove the Abhyankar–Jung theorem for any excellent henselian ring whose completion is a formal power series ring $K[[z]]$. In particular, examples include the local rings which form a Weierstrass system over the field $K$.
