| HAL: hal-00465736, version 1 |
| arXiv: 1002.4107 |
| DOI: 10.1112/S0010437X11005550 |
| Detailed view | Export this paper |
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| Compositio Mathematica 148, 01 (2012) 121-144 |
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| Slodowy Slices and Universal Poisson Deformations |
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| M. Lehn 1Y. Namikawa 2 |
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| (2012-01) |
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| We classify the nilpotent orbits in a simple Lie algebra for which the restriction of the adjoint quotient map to a Slodowy slice is the universal Poisson deformation of its central fibre. This generalises work of Brieskorn and Slodowy on subregular orbits. In particular, we find in this way new singular symplectic hypersurfaces of dimension 4 and 6. |
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| 1: | Fachbereich Physik, Mathematik u. Informatik |
| Johannnes Gutenberg-University | |
| 2: | Department of Mathematics |
| Kyoto University | |
| 3: | Laboratoire de Mathématiques Jean Leray (LMJL) |
| CNRS : UMR6629 – Université de Nantes – École Centrale de Nantes | |
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| Subject | : | Mathematics/Algebraic Geometry |
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| Fulltext link: |
| hal-00465736, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00465736 | |
| oai:hal.archives-ouvertes.fr:hal-00465736 | |
| From: Christoph Sorger | |
| Submitted on: Sunday, 21 March 2010 15:55:57 | |
| Updated on: Thursday, 2 May 2013 09:16:43 | |