Submission date: 4 August 2021

Abstract:

Suppose that R is a local domain with fraction field K. If R is Henselian then the R-adic topology over K refines the étale open topology. If R is regular then the étale open topology over K refines the R-adic topology. In particular the étale open topology over L((t_1,...,t_n)) agrees with the L[[t_1,...,t_n]]-adic topology for any field L and n ≥ 1.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 2108.01868: pdf, ps.