论文标题
对称反射曲曲面品种的渐近食物稳定性
Asymptotic Chow stability of symmetric reflexive toric varieties
论文作者
论文摘要
在本说明中，我们研究了复曲面品种的渐近食物稳定性。我们提供了不可渐近的Chow的对称反射曲曲面品种的示例。另一方面，我们还表明，具有常规三角剖分（特殊）的任何弱对称反射曲曲面品种都是渐近的食物。 之后，我们提供的另一个标准可以显示出对称反射曲曲面的品种是渐近的。特别是，我们给出了两个渐近的示例，这些示例是多stable的，但并不特别。我们还提供了一些特殊多型的示例，主要是在2或3个维度中，有些在较高的维度中。
In this note, we study the asymptotic Chow stability of toric varieties. We provide examples of symmetric reflexive toric varieties that are not asymptotic Chow semistable. On the other hand, we also show that any weakly symmetric reflexive toric varieties which have regular triangulation (special) are asymptotic Chow polystable. After that, we provide another criteria that can show a symmetric reflexive toric variety is asymptotic Chow polystable. In particular, we give two examples that are asymptotic Chow polystable, but not special. We also provide some examples of special polytopes, mainly in 2 or 3 dimensions, and some in higher dimensions.
