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arXiv · 0710.5211

Anti-affine algebraic groups

Michel Brion
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Abstract

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.

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Michel Brion. 2008-06-25. Anti-affine algebraic groups. https://arxiv.org/abs/0710.5211

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