Tame sets in homogeneous spaces
Rafael B. Andrist, Riccardo Ugolini
TL;DR
This paper establishes the existence of strongly tame sets in affine algebraic homogeneous spaces and explores their properties, including density and examples in Stein manifolds, advancing understanding of tame sets in complex geometry.
Contribution
It proves the existence of strongly tame sets in affine algebraic homogeneous spaces and analyzes their properties and examples in Stein manifolds.
Findings
Existence of strongly tame sets in affine algebraic homogeneous spaces.
$( abla^n,A)$ for a discrete tame set has the relative density property.
Examples of Stein manifolds with non-equivalent tame sets.
Abstract
We prove the existence of strongly tame sets in affine algebraic homogenenous spaces of linear algebraic Lie groups. We also show that for a discrete tame set enjoy the relative density property, and we provide examples of Stein manifolds admitting non-equivalent tame sets.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometry and complex manifolds · Geometric and Algebraic Topology