滤子与周稳定性回顾

Filtrations and Chow Stability Revisited

本文研究了代数流行上的周稳定性与K-稳定性.利用滤子的语言,把周权与量子化K-能量沿着Bergman测地线的无穷远斜率联系起来,得到了δ-不变量与δ_(m)-不变量之间的不等式关系.我们还引入了一系列新的不变量,它们可以刻画周稳定性与K-稳定性.

In this article we study Chow stability and K-stability on algebraic manifolds.Using the language of filtrations,we relate the Chow weight to the slope at infinity of the quantized K-energy along Bergman geodesics,which implies an inequality between δ-and δm-invariants.We also introduce a series of new invariants,which can characterize Chow Stability and K-stability.