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| HAL : hal-00377019, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Annales de l'Institut Fourier 60, 2 (2010) 515-549 |
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| Universal isomonodromic deformations of meromorphic rank 2 connections on curves |
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| Viktoria Heu 1 |
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| (2010) |
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| We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes the case of resonant singularities in a natural way. |
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| 1 : | 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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| Domaine | : | Mathématiques/Variables complexes |
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| déformations isomonodromiques – connexions méromorphes |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00377019, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00377019 | |
| oai:hal.archives-ouvertes.fr:hal-00377019 | |
| Contributeur : Viktoria Heu | |
| Soumis le : Lundi 20 Avril 2009, 16:50:18 | |
| Dernière modification le : Mardi 14 Décembre 2010, 14:16:52 | |
