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| HAL: hal-00330624, version 1 |
| Detailed view |  Export this paper |
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| Asian journal of mathematics 11, 3 (2007) 341-360 |
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| Legendrian varieties |
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| Joseph M. Landsberg 1Laurent Manivel 2 |
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| (2007-09-15) |
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| We investigate the geometry of Legendrian complex projective manifolds $X\subset\PP V$. By definition, this means $V$ is a complex vector space of dimension $2n+2$, endowed with a symplectic form, and the affine tangent space to $X$ at each point is a maximal isotropic subspace. We establish basic facts about their geometry and exhibit examples of inhomogeneous smooth Legendrian varieties, the first examples of such in dimension greater than one. |
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| 1: | Department of Mathematics, Texas A&M University (TAMU) |
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Météo France |
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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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| symplectic form – Chern class – K3 surface |
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| Attached file list to this document: | ||||||||||
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| hal-00330624, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00330624 | |
| oai:hal.archives-ouvertes.fr:hal-00330624 | |
| From: Laurent Manivel | |
| Submitted on: Wednesday, 15 October 2008 10:08:26 | |
| Updated on: Wednesday, 15 October 2008 11:54:28 | |
