A Criterion for the Density Property of Stein Manifolds
Rafael B. Andrist, Gene Freudenburg, Gaofeng Huang, Frank, Kutzschebauch, Josua Schott
TL;DR
This paper generalizes a criterion for the density property of Stein manifolds, providing new proofs and examples, including demonstrating that Danielewski surfaces possess the algebraic density property.
Contribution
It introduces a generalized criterion for the density property and presents new examples of Stein manifolds with this property, including a simplified proof for Danielewski surfaces.
Findings
Danielewski surfaces have the algebraic density property
New examples of Stein manifolds with the density property
A simplified proof technique for the density property
Abstract
We generalize a criterion for the density property of Stein manifolds. As an application, we give a new, simple proof of the fact that the Danielewski surfaces have the algebraic density property. Furthermore, we have found new examples of Stein manifolds with the density property.
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Taxonomy
TopicsGeometric and Algebraic Topology · Holomorphic and Operator Theory · Algebraic Geometry and Number Theory