Gaofeng Huang

collaborators

4 papers

math.CV2025

Direct Products for the Hamiltonian Density Property

Rafael B. Andrist, Gaofeng Huang

We show that the direct product of two Stein manifolds with the Hamiltonian density property enjoys the Hamiltonian density property as well. We investigate the relation between th…

math.CV2025

The Density Property for Generalized Calogero--Moser Spaces with Inner Degrees of Freedom

Rafael B. Andrist, Gaofeng Huang

We prove the density property for generalized Calogero--Moser spaces with inner degrees of freedom. This allows us to describe the holomorphic automorphism group of these complex a…

math.AC2025

A Criterion for the Algebraic Density Property of Affine $S L_{2}$ -Manifolds

Rafael B. Andrist, Jan Draisma, Gene Freudenburg +2

Let $B$ be an affine $k$ -domain which admits a nontrivial fundamental pair $(D, U)$ of locally nilpotent derivations, i.e., if $E = [D, U]$ then $(D, U, E)$ is an $sl_{2}$ -tripl…

math.CV2024

Parametric Symplectic Jet Interpolation

Rafael B. Andrist, Gaofeng Huang, Frank Kutzschebauch +1

We prove a parametric jet interpolation theorem for symplectic holomorphic automorphisms of $C^{2 n}$ with parameters in a Stein space. Moreover, we provide an example of a…

Direct Products for the Hamiltonian Density Property

The Density Property for Generalized Calogero--Moser Spaces with Inner Degrees of Freedom

A Criterion for the Algebraic Density Property of Affine SL2​-Manifolds

Parametric Symplectic Jet Interpolation

A Criterion for the Algebraic Density Property of Affine $S L_{2}$ -Manifolds