2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65093In 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.20 pagesCommutative AlgebraAlgebraic GeometryComplex Variables13C15; 13E15; 14C25; 32E10On superheight conditions for the affineness of open subsetstext