Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties
Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties
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正常杂交品种的对数变形和简并 Calabi-Yau 品种的平滑
DOI：
10.1007/bf01231538
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发表时间：
1994
影响因子：
3.1
通讯作者：
Y. Namikawa
中科院分区：
文献类型：
--
作者：
Y. Kawamata;Y. Namikawa
本文发展了正态杂交变种的对数变形理论，证明了某些正态杂交变种具有平坦的光滑变。正态杂交变种是局部同构于光滑变元上的正态交叉因子的约化复解析空间。此外，如果不可约分量是光滑的，则称其为简单正态杂交簇。根据Friedman[F]，我们可以定义简单正态杂交变种的d-半稳定性的概念(例如，半稳定退化的中心纤维是d-半稳定的简单正态杂交变种)。
In this paper we shall develop a theory of logarithmic deformations of normal crossing varieties, and prove that certain normal crossing varieties have flat deformations to smooth varieties.A normal crossinq variety is a reduced complex analytic space which is locally isomorphic to a normal crossing divisor on a smooth variety. Moreover, it is called a simple normal crossin9 variety if the irreducible components are smooth. According to Friedman [F], we can define the concept of d-semistability for simple normal crossing varieties (w For example, the central fiber of a semistable degeneration is a d-semistable simple normal crossing variety.