论文标题
双重封面的毛茸茸的分辨率：在Cynk-Hulek的Crepant Double Cover的标准上
Crepant resolutions of double covers: On the Cynk-Hulek criterion for crepant resolutions of double cover
论文作者
论文摘要
如果$ s $的所有子集的相互作用平稳，则$ s = \ {d_1，\ ldots，\ ldots，\ ldots，d_n \} $是平滑品种$ x $的d_n \}。我们表明，在安排上的$ x $的双重封面在其他假设下具有毛茸茸的分辨率。也就是说，我们假设所有相交的组件在满足满足时会改变规范除数的所有相交组件都是{\ em played}，这是Faber首先研究的组件的切线空间的属性。这加强了Cynk和Hulek的结果，这需要对交叉分量的更强假设。此外，我们研究了分隔线联合的奇异亚气管，并证明它具有主要分解，在该分解中，在构建双层覆盖物的毛茸茸的分辨率过程中，完全支持了主要组件。
A collection $S = \{D_1,\ldots, D_n\}$ of divisors in a smooth variety $X$ is an {\em arrangement} if intersections of all subsets of $S$ are smooth. We show that a double cover of $X$ ramified on an arrangement has a crepant resolution under additional hypotheses. Namely, we assume that all intersection components that change the canonical divisor when blown up satisfy are {\em splayed}, a property of the tangent spaces of the components first studied by Faber. This strengthens a result of Cynk and Hulek, which requires a stronger hypothesis on the intersection components. Further, we study the singular subscheme of the union of the divisors in $S$ and prove that it has a primary decomposition where the primary components are supported on exactly the subvarieties which are blown up in the course of constructing the crepant resolution of the double cover.
