On Convergence of Stringy Motives of Wild $p^n$-Cyclic Quotient Singularities

Mathito Tanno

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arXiv · 2101.06971

On Convergence of Stringy Motives of Wild $p^n$-Cyclic Quotient Singularities

Mathito Tanno

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Abstract

The wild McKay correspondence, a variant of the McKay correspondence in positive characteristics, shows that stringy motives of quotient varieties equal some motivic integrals on the moduli space of of the Galois covers of a formal disk. In this paper, we determine when the integrals converge for the the case of cyclic groups of prime power order. As an application, we give a criterion for the quotient variety being canonical or log canonical.

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BibTeX RIS

Mathito Tanno. 2021-01-18. On Convergence of Stringy Motives of Wild $p^n$-Cyclic Quotient Singularities. https://arxiv.org/abs/2101.06971

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