Is it possible to have a singular plane curve such that the strict transform has a singularity "away" from original singualrity?
问题内容
Let $C$ be a plane curve and suppose, for simplicity, it has a singularity at the origin. Let $\tilde{C}$ be it's strict transform after blowing up $(0,0).$ Is it possible for $\tilde{C}$ to have a singular point not at the origin?
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