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arXiv · 1309.2879

Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions

Melanie Machett Wood·Takehiko Yasuda
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Abstract

We study a relation between the Artin conductor and the weight coming from the motivic integration over wild Deligne-Mumford stacks. As an application, we prove some version of the McKay correspondence, which relates Bhargava's mass formula for extensions of a local field and the Hilbert scheme of points.

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Melanie Machett Wood, Takehiko Yasuda. 2013-09-11. Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions. https://doi.org/10.1093/imrn%2Frnv074

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