射影空间上主束的巴比伦塔定理

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2007-10-22 DOI:10.1215/KJM/1248983030

I. Biswas, I. Coandă, G. Trautmann

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引用次数: 1

摘要

将I. Coanda和G. Trautmann(2006)证明的关于射影空间上向量束的巴比伦塔定理的变式推广到射影空间上的主$G$-束的情况，其中$G$是定义在代数闭域上的线性代数群。在证明过程中，对这类主$G$-束的结构得到了一些新的认识。

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A Babylonian tower theorem for principal bundles over projective spaces

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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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.