Semistable Degeneration of Toric Varieties and Their Hypersurfaces
Semistable Degeneration of Toric Varieties and Their Hypersurfaces
复制标题
环面簇及其超曲面的半稳定退化
DOI：
10.4310/cag.2006.v14.n1.a3
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发表时间：
2001
影响因子：
0.7
通讯作者：
Shengda Hu
中科院分区：
文献类型：
--
作者：
Shengda Hu
我们提供了一个建设的例子，半稳定退化通过复曲面几何。其应用包括经典K3曲面退化为4个有理分量的高维推广，将K3分解为两个E（1）的纤维和的代数几何形式及其高维推广，以及许多其他新的例子。
We provide a construction of examples of semistable degeneration via toric geometry. The applications include a higher dimensional generalization of classical degeneration of K3 surface into 4 rational components, an algebraic geometric version of decomposing K3 as the fiber sum of two E(1)'s as well as it's higher dimensional generalizations, and many other new examples.