Gerald W. Schwarz

activity

20052025

most citedStratifications with respect to actions of real reductive groups

34 citations · 99 across the 24 of their papers we have counts for

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11 papers · 1 filter

math.CV2025

Parametric equivariant Oka principle

Frank Kutzschebauch, Finnur Larusson, Gerald W. Schwarz

Let $G$ be a reductive complex Lie group and $K$ be a maximal compact subgroup of $G$ . Let $X$ be a reduced Stein $G$ -space and $Y$ be a $G$ -elliptic manifold. We prove the followi…

math.CV2021

Equivariant Oka theory: Survey of recent progress

Frank Kutzschebauch, Finnur Larusson, Gerald W. Schwarz

We survey recent work, published since 2015, on equivariant Oka theory. The main results described in the survey are as follows. Homotopy principles for equivariant isomorphisms of…

math.CV2020

A characterization of linearizability for holomorphic $C^{*}$ -actions

Frank Kutzschebauch, Gerald W. Schwarz

Let $G$ be a reductive complex Lie group acting holomorphically on $X = C^{n}$ . The (holomorphic) Linearization Problem asks if there is a holomorphic change of coordinates on…

math.CV2019

Gromov's Oka principle for equivariant maps

Frank Kutzschebauch, Finnur Larusson, Gerald W. Schwarz

We take the first step in the development of an equivariant version of modern, Gromov-style Oka theory. We define equivariant versions of the standard Oka property, ellipticity, an…

math.CV2016

An equivariant parametric Oka principle for bundles of homogeneous spaces

Frank Kutzschebauch, Finnur Larusson, Gerald W. Schwarz

We prove a parametric Oka principle for equivariant sections of a holomorphic fibre bundle $E$ with a structure group bundle $G$ on a reduced Stein space $X$ , such that th…

math.CV2016

An Oka principle for Stein G-manifolds

Gerald W. Schwarz

Let $G$ be a reductive complex Lie group acting holomorphically on Stein manifolds $X$ and $Y$ . Let $p_{X} : X \to Q_{X}$ and $p_{Y} : Y \to Q_{Y}$ be the quotient mappings. Assume t…

Parametric equivariant Oka principle

Equivariant Oka theory: Survey of recent progress

A characterization of linearizability for holomorphic C∗-actions

Gromov's Oka principle for equivariant maps

An equivariant parametric Oka principle for bundles of homogeneous spaces

An Oka principle for Stein G-manifolds

A characterization of linearizability for holomorphic $C^{*}$ -actions