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On superheight conditions for the affineness of open subsets

Holger Brenner
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Abstract

In this paper we consider the open complement U of a hypersurface Y=V(a) in an affine scheme X. We study the relations between the affineness of U, the intersection of Y with closed subschemes, the property that every closed surface in U is affine, the property that every analytic closed surface is Stein and the superheight of the defining ideal a.

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Holger Brenner. 2002-09-26. On superheight conditions for the affineness of open subsets. https://arxiv.org/abs/math/0209371

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