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Results tagged with blow-ups
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user 2900
4
votes
Components of an exceptional divisor
I'd say the number can be arbitrary large if $X$ is not assumed smooth along $Z$. Take the simplest example: hypersurface singularity $\{f_p+f_{p+1}=0\}\subset\Bbb C^n$, where $f_p$ is totally reducib …
- 2,232
1
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Some questions on blowups, strict transforms and its deformation
Let $Z\subseteq Sing(X)\subset M$, where all objects are complex reduced and projective, moreover $Z$ and $M$ are smooth. Consider the strict transform $\tilde{X}\subset Bl_Z M$.
If all the singular …
- 2,232