Covariants and the no-name lemma

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A close connection between the no-name lemma (concerning algebraic groups acting on vector bundles) and the existence of sufficiently many independent rational covariants is pointed out. In particular, this leads to a new natural proof of the no-name lemma. For linearly reductive groups, the approach has a refined variant based on integral covariants. This fits into the usual context of invariant theory, and yields a version of the no-name lemma that has a constructive nature.
The paper has been completely rewritten, more conclusive results are achieved

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Representation Theory, Algebraic Geometry, 13A50; 14L30; 20G05

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http://salesiana.dossiersoluciones.com/handle/123456789/163485

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.1327
 http://arxiv.org/abs/0803.1327

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arXiv