Stability conditions and Calabi–Yau fibrations
Stability conditions and Calabi–Yau fibrations
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稳定性条件和 Calabi-Yau 纤维
DOI：
10.1090/s1056-3911-08-00511-0
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发表时间：
2006
影响因子：
1.8
通讯作者：
Yukinobu Toda
中科院分区：
文献类型：
--
作者：
Yukinobu Toda
在这篇文章中，我们描述了与三维Calabi-Yau函数相关的三角范畴的稳定性条件空间。我们处理两种情形，平坦的椭圆原纤维和光滑的K3(阿贝尔)原纤维。在第一种情况下，我们将看到存在类似于二元几何中使用的可移动锥体的腔结构。在第二种情况下，我们将比较闭合纤维的空间和稳定条件空间。
In this paper, we describe the spaces of stability conditions for the triangulated categories associated to three dimensional Calabi-Yau fibrations. We deal with two cases, the flat elliptic fibrations and smooth K3 (Abelian) fibrations. In the first case, we will see there exist chamber structures similar to those of the movable cone used in birational geometry. In the second case, we will compare the space with the space of stability conditions for the closed fiber of the fibration.