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| HAL: hal-00595725, version 1 |
| arXiv: 1105.4494 |
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| Polyhedral divisors and SL_2-actions on affine T-varieties |
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| Ivan Arzhantsev 1Alvaro Liendo 2 |
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| (2011-05-23) |
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| In this paper we classify SL_2-actions on normal affine T-varieties that are normalized by the torus T. This is done in terms of a combinatorial description of T-varieties given by Altmann and Hausen. The main ingredient is a generalization of Demazure's roots of the fan of a toric variety. As an application we give a description of special SL_2-actions on normal affine varieties. We also obtain, in our terms, the classification of quasihomogeneous SL_2-threefolds due to Popov. |
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| 1: | Department of Algebra, Faculty of Mathematics, Moscow State University |
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Moscow State University |
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| 2: | Institut Fourier (IF) |
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CNRS : UMR5582 – Université Joseph Fourier - Grenoble I |
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| Subject | : | Mathematics/Algebraic Geometry |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/1105.4494 |
| hal-00595725, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00595725 | |
| oai:hal.archives-ouvertes.fr:hal-00595725 | |
| From: Alvaro Liendo | |
| Submitted on: Wednesday, 25 May 2011 14:11:27 | |
| Updated on: Wednesday, 25 May 2011 14:11:27 | |
