论文标题
Prime Power Order循环基团的野生McKay通信
The Wild McKay Correspondence for Cyclic Groups of Prime Power Order
论文作者
论文摘要
$ \ boldsymbol {v} $ - 函数是野生McKay通信中的关键成分。在本文中，我们给出了一个公式，以witt矢量的估值来计算它，当给定的组是循环的素数。我们将其应用于研究商的主要平方秩序的奇异性。我们给出标准是否是否融合了商的刺激动机。此外，如果给定表示形式是不可分解的，那么我们还为商提供了一个简单的标准，即商的终端，规范，日志规范，而不是日志规范。
The $\boldsymbol{v}$-function is a key ingredient in the wild McKay correspondence. In this paper, we give a formula to compute it in terms of valuations of Witt vectors, when the given group is a cyclic group of prime power order. We apply it to study singularities of a quotient variety by a cyclic group of prime square order. We give a criterion whether the stringy motive of the quotient variety converges or not. Furthermore, if the given representation is indecomposable, then we also give a simple criterion for the quotient variety being terminal, canonical, log canonical, and not log canonical.
