On proper discs in complex manifolds

Details On proper discs in complex manifolds On proper discs in complex manifolds

2005-03-22

arxiv.org/abs/math/0503449v3

Mathematics

Complex Variables

13 pages, minor changes, to appear in Annales de l'Institut Fourier

Scientific paper

Let X be a complex manifold of dimension at least 2 which has an exhaustion
function whose Levi form has at each point at least 2 positive eigenvalues. We
prove that there are proper holomorphic discs in X through any given point

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