Principal Bundles on the Projective Line

Proceedings Mathematical Sciences

V B Mehta²  S Subramanian¹ 

[1] $$;School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Raod, Colaba, Mumbai 00 0, India$$

关键词: Reductive groups;    principal bundles.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We classify principal 𝐺-bundles on the projective line over an arbitrary field 𝑘 of characteristic ≠ 2 or 3, where 𝐺 is a reductive group. If such a bundle is trivial at a 𝑘-rational point, then the structure group can be reduced to a maximal torus.

【 授权许可】

Unknown