Anti-affine algebraic groups

JOURNAL OF ALGEBRA

卷:321

Article

Brion, Michel

关键词: Group scheme;    Algebraic group;    Albanese morphism;    Hilbert's fourteenth problem;   

DOI  :  10.1016/j.jalgebra.2008.09.034

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free