On the compactification of concave ends

Details On the compactification of concave ends On the compactification of concave ends

2008-08-29

arxiv.org/abs/0808.4148v1

Mathematics

Complex Variables

8 pages

Scientific paper

Let X be a complex manifold of dimension 2, which admits a strictly
plurisubharmonic function r which is proper as a function with values in the
intervall ]inf r, sup r[. We prove that the concave end of X can be
compactified, if and only if, the first cohomology of X is Hausdorff.

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