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

collaborators

32 papers

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.SG2023★ 1 cited

Isomorphisms of Symplectic Torus Quotients

Hans-Christian Herbig, Gerald W. Schwarz, Christopher Seaton

We call a reductive complex group $G$ quasi-toral if $G^{0}$ is a torus. Let $G$ be quasi-toral and let $V$ be a faithful $1$ -modular $G$ -module. Let $N$ (the shell) be the zero fibe…

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.AG2021★ 2 cited

When does the zero fiber of the moment map have rational singularities?

Hans-Christian Herbig, Gerald W. Schwarz, Christopher Seaton

Let $G$ be a complex reductive group and $V$ a $G$ -module. There is a natural moment mapping $μ : V \oplus V^{*} \to g^{*}$ and we denote $μ^{- 1} (0)$ (the shell) by $N_{V}$ .…

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…

Parametric equivariant Oka principle

Isomorphisms of Symplectic Torus Quotients

Equivariant Oka theory: Survey of recent progress

When does the zero fiber of the moment map have rational singularities?

A characterization of linearizability for holomorphic C∗-actions

Gromov's Oka principle for equivariant maps

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