Mathematics – Complex Variables
Scientific paper
2008-12-12
Mathematics
Complex Variables
8 pages, latex
Scientific paper
We study the local geometry of the pullback of a variety via a finite holomorphic map. In particular, we are looking for properties of $V = F^{-1}(W)$ such that if $V$ has the property $A$, then $W$ must have the property $A$. We show that $A$ can be the property of normality or prefactoriality. We also show that $A$ can be the property of smoothness, under extra assumptions.
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