射影空间上主丛的巴比伦塔定理
A Babylonian tower theorem for principal bundles over projective spaces
摘要：
我们推广了由I。Coanda和G. Trautmann（2006）的方法应用于射影空间上的主$G$ -丛的情形，其中$G$是定义在代数闭域上的线性代数群。在证明的过程中，对这种主$G$ -丛的结构有了新的认识。
英文摘要：
We generalise the variant of the Babylonian tower theorem for vector bundles on projective spaces proved by I. Coanda and G. Trautmann (2006) to the case of principal $G$-bundles over projective spaces, where $G$ is a linear algebraic group defined over an algebraically closed field. In course of the proofs some new insight into the structure of such principal $G$-bundles is obtained.
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