Some Examples of Tilt-Stable Objects on Threefolds
Some Examples of Tilt-Stable Objects on Threefolds
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三重上倾斜稳定物体的一些示例
DOI：
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发表时间：
2012
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通讯作者：
Yogesh More
中科院分区：
文献类型：
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作者：
J. Lo;Yogesh More
我们调查的性质和描述的例子倾斜稳定的物体上光滑的复杂的投影三倍。本文给出了判别式为零的斜坡半稳定层的结构定理，并描述了某些陈类，对于这些类，每一斜坡半稳定层都产生一个最大相位的Bridgeland半稳定对象.然后，我们研究了当极化率ω变大时的倾斜稳定性，给出了以下两种形式的层倾斜稳定性的充分条件：1）理想层的扭转和2）第一Chern类是最小可能值的两倍的无挠层。
We investigate properties and describe examples of tilt-stable objects on a smooth complex projective threefold. We give a structure theorem on slope semistable sheaves of vanishing discriminant, and describe certain Chern classes for which every slope semistable sheaf yields a Bridgeland semistable object of maximal phase. Then, we study tilt stability as the polarization ω gets large, and give sufficient conditions for tilt-stability of sheaves of the following two forms: 1) twists of ideal sheaves or 2) torsion-free sheaves whose first Chern class is twice a minimum possible value.