Definition 54.14.2. Let $Y$ be a $2$-dimensional Noetherian integral scheme. We say $Y$ has a resolution of singularities by normalized blowups if there exists a sequence
\[ Y_ n \to Y_{n - 1} \to \ldots \to Y_1 \to Y_0 \to Y \]
where
$Y_ i$ is proper over $Y$ for $i = 0, \ldots , n$,
$Y_0 \to Y$ is the normalization,
$Y_ i \to Y_{i - 1}$ is a normalized blowup for $i = 1, \ldots , n$, and
$Y_ n$ is regular.
Comments (2)
Comment #5839 by Jef Laga on
Comment #5852 by Johan on