Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2013
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| _version_ | 1866911783084621824 |
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| author | Wood, Melanie Machett Yasuda, Takehiko |
| author_facet | Wood, Melanie Machett Yasuda, Takehiko |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1309_2879 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions Wood, Melanie Machett Yasuda, Takehiko Number Theory Algebraic Geometry 11S15 (Primary) 14E16 (Secondary) 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. |
| title | Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions |
| topic | Number Theory Algebraic Geometry 11S15 (Primary) 14E16 (Secondary) |
| url | https://arxiv.org/abs/1309.2879 |