Stability Conditions on An-Singularities
Stability Conditions on An-Singularities
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DOI：
10.4310/jdg/1271271794
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发表时间：
2010
影响因子：
2.5
通讯作者：
A. Ishii;K. Ueda;Hokuto Uehara
中科院分区：
文献类型：
--
作者：
A. Ishii;K. Ueda;Hokuto Uehara
我们研究了在例外集上支持的An-奇点的最小分解上的相干层的导出范畴上的局部有限稳定性条件的空间。我们的主要定理是它们是连通的和单连通的。证明是基于[ 30 ]中对球形物体的研究和An-奇点的同调镜像对称性。
We study the spaces of locally finite stability conditions on the derived categories of coherent sheaves on the minimal resolutions of A n -singularities supported at the exceptional sets. Our main theorem is that they are connected and simply-connected. The proof is based on the study of spherical objects in [ 30 ] and the homological mirror symmetry for A n -singularities.