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| HAL : hal-00130283, version 2 |
| arXiv : math.AG/0702287 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (10-02-2007) | v2 (27-02-2007) |
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| On the classification of rank two representations of quasiprojective fundamental groups |
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| Kevin Corlette 1Carlos Simpson 2 |
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| (10/02/2007) |
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| Suppose $X$ is a smooth quasiprojective variety over $\cc$ and $\rho : \pi _1(X,x) \rightarrow SL(2,\cc )$ is a Zariski-dense representation with quasiunipotent monodromy at infinity. Then $\rho$ factors through a map $X\rightarrow Y$ with $Y$ either a DM-curve or a Shimura modular stack. |
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| 1 : | Department of Mathematics (1-CHI) |
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University of Chicago |
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| 2 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS] |
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| Domaine | : | Mathématiques/Géométrie algébrique |
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| Fundamental group – Representation – Harmonic map – Tree – Deligne-Mumford stack – Shimura variety |
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| hal-00130283, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00130283 | |
| oai:hal.archives-ouvertes.fr:hal-00130283 | |
| Contributeur : Carlos Simpson | |
| Soumis le : Mardi 27 Février 2007, 13:17:25 | |
| Dernière modification le : Mardi 27 Février 2007, 13:42:09 | |
