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The Stacks project

  • there is a closed immersion \mathbf{P}^1_ Z \to W whose composition with b is the inclusion morphism \mathbf{P}^1_ Z \to \mathbf{P}^1_ X and whose base change by \infty is the composition Z \to C_ ZX \to E \to W_\infty where the first arrow is the vertex of the cone.


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