Fix notation and proof

Thanks to Laurent Moret-Bailly
https://stacks.math.columbia.edu/tag/0AHH#comment-7946

resolve.tex

@@ -854,12 +854,13 @@ \section{Dominating by quadratic transformations}
 X_n \to X_{n - 1} \to \ldots \to X_1 \to X_0 = X
 $$
 where $X_{i + 1} \to X_i$ is the blowing up of $X_i$ at a closed
-point $x_i$ lying above a point of $T$ such that
+point lying above a point of $T$ such that
 $\mathcal{I}\mathcal{O}_{X_n}$ is an invertible ideal sheaf.
 \end{lemma}
 
 \begin{proof}
-Say $T = \{x_1, \ldots, x_r\}$. Set
+Say $T = \{x_1, \ldots, x_r\}$. Denote $I_i$ the stalk of $\mathcal{I}$ at
+$x_i$. Set
 $$
 n_i = \text{length}_{\mathcal{O}_{X, x_i}}(\mathcal{O}_{X, x_i}/I_i)
 $$