Pseudoconvex domains in the Hopf surface
Norman Levenberg, Hiroshi Yamaguchi
TL;DR
This paper characterizes pseudoconvex domains with smooth boundary in Hopf surfaces that are not Stein, using domain variation techniques to deepen understanding of complex structures in these surfaces.
Contribution
It introduces a novel application of domain variation techniques to classify pseudoconvex domains in Hopf surfaces that are not Stein.
Findings
Identifies conditions under which pseudoconvex domains in Hopf surfaces are not Stein.
Provides a characterization of smooth-boundary pseudoconvex domains in Hopf surfaces.
Extends the understanding of complex geometry in non-Stein complex surfaces.
Abstract
With the aid of the technique of variation of domains developed in Memoirs of Amer. Math. Soc., Vol. 209, No. 984, 2011, we characterize the pseudoconvex domains with smooth boundary in Hopf surfaces which are not Stein.
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Taxonomy
TopicsHolomorphic and Operator Theory · Rings, Modules, and Algebras · Geometric and Algebraic Topology