论文标题
产品品种的一些二次不平等现象
Some quadratic inequalities on product varieties
论文作者
论文摘要
我们证明了半稳定物体复杂的希尔伯特多项式的系数的一些阳性结果。将这些结果应用于经典的坡度稳定性条件后，我们将获得产品品种半稳定对象的二次不平等序列。领先的二次不平等现象可以看作是Bogomolov在任意特征中保持不平等的薄弱版本。
We prove some positivity results on the coefficients in the complexified Hilbert polynomial of a semi-stable object. After applying these results on the classical slope stability conditions, we get sequences of quadratic inequalities for semi-stable objects on product varieties. The leading quadratic inequality can be viewed as a weak version of Bogomolov's inequality holding in arbitrary characteristics.
