English

On superheight conditions for the affineness of open subsets

Commutative Algebra 2007-05-23 v1 Algebraic Geometry Complex Variables

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.

Keywords

Cite

@article{arxiv.math/0209371,
  title  = {On superheight conditions for the affineness of open subsets},
  author = {Holger Brenner},
  journal= {arXiv preprint arXiv:math/0209371},
  year   = {2007}
}

Comments

20 pages