Situation 16.4.1 (0BJ2)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 16: Smoothing Ring Maps
Section 16.4: Intermezzo: Néron desingularization
Situation 16.4.1 (cite)

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Situation 16.4.1. Here $R \subset \Lambda $ is an extension of discrete valuation rings with ramification index $1$ (More on Algebra, Definition 15.111.1). We assume given a factorization

\[ R \to A \xrightarrow {\varphi } \Lambda \]

with $R \to A$ flat and of finite type. Let $\mathfrak q = \mathop{\mathrm{Ker}}(\varphi )$ and $\mathfrak p = \varphi ^{-1}(\mathfrak m_\Lambda )$.

Comments (4)

Comment #3784 by Dario Weißmann on November 12, 2018 at 16:14

Typo: Moreover, we assume given... Sounds a bit awkward, maybe: we assume we are given?

Comment #3785 by Dario Weißmann on November 12, 2018 at 16:27

And right after the situation: ... $\pi$ maps to uniformizer -> maps to a uniformizer

...wich comes endowed with -> which comes endowed with

Comment #3786 by Dario Weißmann on November 12, 2018 at 16:32

Searching for "wich" also turns up 24 results

Comment #3911 by Johan on January 22, 2019 at 11:17

Thanks and fixed here.

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