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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/112/03/0393-0397

    • Keywords

       

      Reductive groups; principal bundles

    • Abstract

       

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

    • Author Affiliations

       

      V B Mehta1 S Subramanian1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Raod, Colaba, Mumbai - 400 045, India

    • Dates

       
      Published
      August 2002
      Manuscript received
      21 January 2002
      Manuscript revised
      19 April 2002

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