On the compactification of concave ends
Complex Variables
2008-09-01 v1 Algebraic Geometry
Abstract
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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Cite
@article{arxiv.0808.4148,
title = {On the compactification of concave ends},
author = {Martin Brumberg and Juergen Leiterer},
journal= {arXiv preprint arXiv:0808.4148},
year = {2008}
}
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8 pages