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| HAL: hal-00578779, version 1 |
| DOI: 10.1080/00927870903295398 |
| Detailed view |  Export this paper |
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| Communications in Algebra 38, 11 (2010) 4077-4096 |
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| GREENBERG APPROXIMATION AND THE GEOMETRY OF ARC SPACES |
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| Johannes Nicaise 1Julien Sebag 2 |
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| (2010) |
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| We study the differential properties of generalized arc schemes and geometric versions of Kolchin's Irreducibility Theorem over arbitrary base fields. As an intermediate step, we prove an approximation result for arcs by algebraic curves. |
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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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| Subject | : | Mathematics/Algebraic Geometry |
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| Algebraic geometry – Arc scheme – Differential algebra |
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| hal-00578779, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00578779 | |
| oai:hal.archives-ouvertes.fr:hal-00578779 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Tuesday, 22 March 2011 11:27:55 | |
| Updated on: Tuesday, 22 March 2011 11:27:55 | |
