Lemma 58.20.2. Let $(A, \mathfrak m)$ be a Noetherian local ring. Set $X = \mathop{\mathrm{Spec}}(A)$ and let $U = X \setminus \{ \mathfrak m\} $. Let $V$ be finite étale over $U$. Assume $A$ has depth $\geq 2$. The following are equivalent

$V = Y \times _ X U$ for some $Y \to X$ finite étale,

$B = \Gamma (V, \mathcal{O}_ V)$ is finite étale over $A$.

## Comments (2)

Comment #2258 by Katharina on

Comment #2292 by Johan on