Estimated transversality in symplectic geometry and projective maps

Details Estimated transversality in symplectic geometry and projective maps Estimated transversality in symplectic geometry and projective maps

2000-10-05

arxiv.org/abs/math/0010052v1

Mathematics

Symplectic Geometry

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

Scientific paper

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.

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