English

Estimated transversality in symplectic geometry and projective maps

Symplectic Geometry 2007-05-23 v1 Differential Geometry

Abstract

The main theorem of this paper is a result of estimated transversality with respect to stratifications of jet spaces in the approximately holomorphic category over an almost-complex manifold. The notion of asymptotic ampleness of complex vector bundles over an almost-complex manifold is also discussed, as well as applications to the construction of maps with generic singularities from compact symplectic manifolds to projective spaces.

Keywords

Cite

@article{arxiv.math/0010052,
  title  = {Estimated transversality in symplectic geometry and projective maps},
  author = {Denis Auroux},
  journal= {arXiv preprint arXiv:math/0010052},
  year   = {2007}
}

Comments

25 pages; to appear in Proc. International KIAS Conference (Seoul, 2000)