Equivariant motivic integration and proof of the integral identity conjecture for regular functions
We develop Denef-Loeser’s motivic integration to an equivariant version and use it to prove the full integral identity conjecture for regular functions. In comparison with Hartmann’s work, the equivariant Grothendieck ring defined in this article is more elementary and it yields the application to t...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/1095 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/1095 https://doi.org/10.1007/s00208-019-01940-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Equivariant motivic integration, motivic zeta function, motivic Milnor fibers, integral identity conjecture |
| Sumario: | We develop Denef-Loeser’s motivic integration to an equivariant version and use it to prove the full integral identity conjecture for regular functions. In comparison with Hartmann’s work, the equivariant Grothendieck ring defined in this article is more elementary and it yields the application to the conjecture. |
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