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| HAL: hal-00709765, version 1 |
| arXiv: 0912.4887 |
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| A note on motivic integration in mixed characteristic |
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| Johannes Nicaise 1Julien Sebag 2 |
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| (2009-12-24) |
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| We introduce a quotient of the Grothendieck ring of varieties by identifying classes of universally homeomorphic varieties. We show that the standard realization morphisms factor through this quotient, and we argue that it is the correct value ring for the theory of motivic integration on formal schemes and rigid varieties in mixed characteristic. The present note is an excerpt of a detailed survey paper which will be published in the proceedings of the conference "Motivic integration and its interactions with model theory and non-archimedean geometry" (ICMS, 2008). |
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| 1: | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université Lille I - Sciences et technologies |
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| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Géométrie algébrique |
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| Subject | : | Mathematics/Algebraic Geometry |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/0912.4887 |
| hal-00709765, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00709765 | |
| oai:hal.archives-ouvertes.fr:hal-00709765 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Tuesday, 19 June 2012 14:16:01 | |
| Updated on: Tuesday, 19 June 2012 14:16:01 | |
