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Section 3 of Atiyah's "On analytic surfaces with double points" — some questions

The strict transform of $W$ in the blowup $\tilde{Q}_3$ of $Q_3$ at $O$ is equal to the blowup of $W$ at $O$, and since $W$ has a node at $O$, this blowup is the standard nonsingular model. To ...
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