有限映射簇的拉回
Pullback of varieties by finite maps
摘要：
本文研究了有限全纯映射下簇的拉回的局部几何。特别地，我们正在寻找$V = F^{-1}(W)$的属性，使得如果$V$具有属性$A$，则$W$必须具有属性$A$。证明了$A$可以是正态性或预因子性的性质。我们还表明，$A$可以是光滑的性质，在额外的假设。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
