Gene Freudenburg

collaborators

3 papers

math.AG2025

Presentations, embeddings and automorphisms of homogeneous spaces for SL(2,C)

Gene Freudenburg

For an algebraically closed field $k$ of characteristic zero and a linear algebraic $k$ -group $G$ , it is well known that every affine $G$ -variety admits a $G$ -equivariant closed em…

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.AG2024

A note on smooth $S L_{2}$ -surfaces

Gene Freudenburg

Working over a field $k$ of characteristic zero, we study the ring $R = D^{Z_{2}}$ where $D = k [x_{0}, x_{1}, x_{2}] / (2 x_{0} x_{2} - x_{1}^{2} - 1)$ and $\mathbb{Z}_…

Presentations, embeddings and automorphisms of homogeneous spaces for SL(2,C)

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

A note on smooth SL2​-surfaces

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

A note on smooth $S L_{2}$ -surfaces