Exercise 111.48.2. Let $k$ be a field. Let $X = \mathbf{P}^ n_ k$. Let $Z \subset X$ be a closed $k$-rational point viewed as a closed subscheme. For example the point with homogeneous coordinates $(1 : 0 : \ldots : 0)$. Compute the dimensions of

\[ \mathop{\mathrm{Ext}}\nolimits ^ i_ X(\mathcal{O}_ Z, \mathcal{O}_ Z) \]

for all $i$.

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