Article Dans Une Revue Asian Journal of Mathematics Année : 2007

Legendrian varieties

Résumé

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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hal-00330624 , version 1 (15-10-2008)

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  • HAL Id : hal-00330624 , version 1

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Joseph M. Landsberg, Laurent Manivel. Legendrian varieties. Asian Journal of Mathematics, 2007, 11 (3), pp.341-360. ⟨hal-00330624⟩

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