Toward motivic integration over wild Deligne-Mumford stacks
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2013
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929254998999040 |
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| author | Yasuda, Takehiko |
| author_facet | Yasuda, Takehiko |
| contents | We discuss how the motivic integration will be generalized to wild Deligne-Mumford stacks, that is, stabilizers may have order divisible by the characteristic of the base or residue field. We pose several conjectures on this topic. We also present some possible applications concerning stringy invariants, resolution of singularities, and weighted counts of extensions of local fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1302_2982 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Toward motivic integration over wild Deligne-Mumford stacks Yasuda, Takehiko Algebraic Geometry Number Theory 14E18, 14E16, 11S15 We discuss how the motivic integration will be generalized to wild Deligne-Mumford stacks, that is, stabilizers may have order divisible by the characteristic of the base or residue field. We pose several conjectures on this topic. We also present some possible applications concerning stringy invariants, resolution of singularities, and weighted counts of extensions of local fields. |
| title | Toward motivic integration over wild Deligne-Mumford stacks |
| topic | Algebraic Geometry Number Theory 14E18, 14E16, 11S15 |
| url | https://arxiv.org/abs/1302.2982 |