On the Cox ring of blowing up the diagonal
classification
🧮 math.AG
keywords
deltadiagonalmathrmblow-upsblowingcomputegeneralisedmathbb
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We compute the Cox rings of the blow-ups $\mathrm{Bl}_\Delta(X'\times X')$ and $\mathrm{Bl}_\Delta(\mathbb P_1^n)$ where $X'$ is a product of projective spaces and $\Delta$ is the (generalised) diagonal.
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