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arXiv · 2111.03303

Stein complements in compact K\"ahler manifolds

Andreas Höring·Thomas Peternell
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Abstract

Given a projective or compact K\"ahler manifold X and a (smooth) hypersurface Y, we study conditions under which $X \setminus Y$ could be Stein. We apply this in particular to the case when X is the projectivization of the so-called canonical extension of the tangent bundle $T_M$ of a projective manifold M with Y being the projectivization of $T_M$ itself.

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Andreas Höring, Thomas Peternell. 2021-11-05. Stein complements in compact K\"ahler manifolds. https://arxiv.org/abs/2111.03303

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