Legendrian Varieties Academic Article uri icon

abstract

  • We investigate the geometry of Legendrian complex projective manifolds X ⊂ ℙV. 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. © 2007 International Press.

author list (cited authors)

  • Landsberg, J. M., & Manivel, L.

citation count

  • 10

publication date

  • January 2007