G. Freudenburg

activity

20092024

most citedCurves defined by Chebyshev polynomials

8 citations · 21 across the 14 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.AG2018

Factorial rational varieties which admit or fail to admit an elliptic $G_{m}$ -action

Gene Freudenburg, Takanori Nagamine

Over a field $k$ , we study rational UFDs of finite transcendence degree $n$ over $k$ . We classify such UFDs $B$ when $n = 2$ , $k$ is algebraically closed, and $B$ admits a positive $…

math.AG2018

Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms

Adrien Dubouloz, Gene Freudenburg, Lucy Moser-Jauslin

We construct smooth rational real algebraic varieties of every dimension $\geq$ 4 which admit infinitely many pairwise non-isomorphic real forms.

math.AG2018

The polar group of a real form of an affine or projective $C$ -variety

Gene Freudenburg

A general problem is to classify the real forms of a complex variety up to isomorphism. This paper introduces the polar group of a real form $X$ of a complex variety $Y$ as a tool…

math.AG2018

On the uniqueness of polynomial embeddings of the real 1-sphere in the plane

Gene Freudenburg

This paper considers real forms of closed algebraic $C^{*}$ -embeddings in $C^{2}$ . The classification of such embeddings was recently completed by Cassou-Nogues, Kora…

Factorial rational varieties which admit or fail to admit an elliptic Gm​-action

Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms

The polar group of a real form of an affine or projective C-variety

On the uniqueness of polynomial embeddings of the real 1-sphere in the plane

Factorial rational varieties which admit or fail to admit an elliptic $G_{m}$ -action

The polar group of a real form of an affine or projective $C$ -variety