Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 106, Issue 3, pp 301–328

Moduli for principal bundles over algebraic curves: I

  • A Ramanathan

DOI: 10.1007/BF02867438

Cite this article as:
Ramanathan, A. Proc. Indian Acad. Sci. (Math. Sci.) (1996) 106: 301. doi:10.1007/BF02867438


We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal bundles with a reductive structure group is constructed using Mumford's geometric invarian theory.


Principal bundlescompact Riemann surfacegeometric invariant theoryreductive algebraic groups

Copyright information

© Indian Academy of Sciences 1996

Authors and Affiliations

  • A Ramanathan
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchMumbaiIndia