A compactification of open varieties
A compactification of open varieties
复制标题
开放品种的紧凑化
DOI：
10.1090/s0002-9947-03-03247-1
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发表时间：
1999
影响因子：
1.3
通讯作者：
Yi Hu
中科院分区：
文献类型：
--
作者：
Yi Hu
本文证明了一种通过增加正规交叉因子来紧化某些开簇的一般方法。这是通过显示炸毁沿着安排的子品种可以进行。重要的例子，如乌里扬诺夫的配置空间和补充安排的线性子空间在射影空间等，都被覆盖了交叉环和（非递归）霍奇多项式计算。此外，还描述和研究了由爆破过程产生的一些一般结构。
In this paper we prove a general method to compactify certain open varieties by adding normal crossing divisors. This is done by showing that blowing up along an arrangement of subvarieties can be carried out. Important examples such as Ulyanov's configuration spaces and complements of arrangements of linear subspaces in projective spaces, etc., are covered. Intersection ring and (nonrecursive) Hodge polynomials are computed. Furthermore, some general structures arising from the blowup process are also described and studied.