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Proceedings of the Indian Academy of Sciences  Mathematical Sciences
, Volume 106, Issue 3, pp 301328
First online:
Moduli for principal bundles over algebraic curves: I
 A RamanathanAffiliated withSchool of Mathematics, Tata Institute of Fundamental Research
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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.
Keywords
Principal bundles compact Riemann surface geometric invariant theory reductive algebraic groups Title
 Moduli for principal bundles over algebraic curves: I
 Journal

Proceedings of the Indian Academy of Sciences  Mathematical Sciences
Volume 106, Issue 3 , pp 301328
 Cover Date
 199608
 DOI
 10.1007/BF02867438
 Print ISSN
 02534142
 Online ISSN
 09737685
 Publisher
 Springer India
 Additional Links
 Topics
 Keywords

 Principal bundles
 compact Riemann surface
 geometric invariant theory
 reductive algebraic groups
 Industry Sectors
 Authors

 A Ramanathan ^{(1)}
 Author Affiliations

 1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Mumbai, India