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ON THE COMPACTIFICATION OF CONCAVE ENDS

By Martin Brumberg and Jürgen Leiterer

Abstract

1.1. Definition. We say that ρ: X →]a, b [ is a 1-corona if: a ∈ R ∪ {−∞}, b ∈ R ∪ {∞}, X is a complex manifold, ρ is a strictly plurisubharmonic C ∞-function defined on X and with value

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