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Timeline for blow-up and normal crossings

Current License: CC BY-SA 3.0

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Mar 26, 2013 at 19:12 comment added Jason Starr By definition, $\mathcal{O}_{\widetilde{X}}(\phi^*D)$ equals $\phi^* \mathcal{O}_{X}(D)$. I thought you were asking whether or not $\phi^*D$ is a simple normal crossings divisor, which it is.
Mar 26, 2013 at 15:51 comment added bupncd Note also that $c=2$ in my original example.
Mar 26, 2013 at 15:47 comment added bupncd Thank you so much Jason!! Could you just tell me which is the final result for the relation between $\mathcal{O}_X(\varphi^\ast D)$ and the inverse images of $\mathcal{O}_D$ and $\mathcal{O}_Z(D_Z)$ to be sure that I get the right answer when computing the model case?
Mar 26, 2013 at 12:22 history answered Jason Starr CC BY-SA 3.0