The wild McKay correspondence for cyclic groups of prime power order

  title={The wild McKay correspondence for cyclic groups of prime power order},
  author={Mahito Tanno and Takehiko Yasuda},
  journal={arXiv: Algebraic Geometry},
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… Expand
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