Mass Formulas for Local Galois Representations and Quotient Singularities. I: A Comparison of Counting Functions

Melanie Machett Wood; Takehiko Yasuda

doi:10.1093/imrn/rnv074

Mass Formulas for Local Galois Representations and Quotient Singularities. I: A Comparison of Counting Functions

Melanie Machett Wood, Takehiko Yasuda

Research output: Contribution to journal › Article

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	12590-12619
Number of pages	30
Journal	International Mathematics Research Notices
Volume	2015
Issue number	23
DOIs	https://doi.org/10.1093/imrn/rnv074
Publication status	Published - 2015 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rnv074

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Wood, M. M., & Yasuda, T. (2015). Mass Formulas for Local Galois Representations and Quotient Singularities. I: A Comparison of Counting Functions. International Mathematics Research Notices, 2015(23), 12590-12619. https://doi.org/10.1093/imrn/rnv074

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