Anti-affine algebraic groups

By M. Brion. 2007

58 citations recorded by the source corpus.

We say that an algebraic group $G$ over a field is anti-affine if every regular function on $G$ is constant. We obtain a classification of these groups, with applications to the structure of algebraic groups in positive characteristics, and to the construction of many counterexamples to Hilbert's fourteenth problem.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4637133b672b5b14daf91daba1e8002612e260d1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. M. Brion
2. Kevin Tucker
3. Izzet Coskun
4. Sara C. Billey
5. N. Perrin
6. Karl Schwede

In Geometry and Topology

1. M. Brion
2. Julianna Tymoczko
3. Izzet Coskun
4. Sara C. Billey
5. N. Perrin
6. Anders Skovsted Buch

In Mathematical Physics

1. M. Brion
2. Julianna Tymoczko
3. Izzet Coskun
4. Sara C. Billey
5. N. Perrin
6. Anders Skovsted Buch

Citations in the corpus

• Some structure theorems for algebraic groups (2015, background): “The structure of anti-affine algebraic groups has been obtained in [10] and [52] independently.”