Existence of valuations with smallest normalized volume
Existence of valuations with smallest normalized volume
复制标题
存在最小标准化交易量的估值
作者：
Harold Blum
李引入了赋值的正规化量，因为它与K-半稳定性有关。他猜想，在一个Kawamata对数终点(KLT)奇点上，存在一个正规化体积最小的赋值。我们证明了这一猜想，并给出了一个明确的例子，表明这样的估值不一定是除法的。
Li introduced the normalized volume of a valuation due to its relation to K-semistability. He conjectured that over a Kawamata log terminal (klt) singularity there exists a valuation with smallest normalized volume. We prove this conjecture and give an explicit example to show that such a valuation need not be divisorial.