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| HAL : hal-00330624, version 1 |
| Fiche détaillée |  Récupérer au format |
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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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| (15/09/2007) |
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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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| Domaine | : | Mathématiques/Géométrie algébrique |
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| symplectic form – Chern class – K3 surface |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00330624, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00330624 | |
| oai:hal.archives-ouvertes.fr:hal-00330624 | |
| Contributeur : Laurent Manivel | |
| Soumis le : Mercredi 15 Octobre 2008, 10:08:26 | |
| Dernière modification le : Mercredi 15 Octobre 2008, 11:54:28 | |
