协变与无名引理
Covariants and the no-name lemma
摘要：
指出了无名引理（关于作用于向量丛的代数群）与存在足够多的独立有理协变之间的密切联系。特别是，这导致了一个新的自然证明的无名引理。对于线性约化群，该方法有一个基于积分协变的改进变量。这符合不变量理论的通常背景，并产生了一个具有构造性性质的无名引理。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
