A Generalisation of Nagata's Theorem on Ruled Surfaces

@article{Holla2001AGO,
  title={A Generalisation of Nagata's Theorem on Ruled Surfaces},
  author={Yogish I. Holla and M. Narasimhan},
  journal={Compositio Mathematica},
  year={2001},
  volume={127},
  pages={321-332}
}
We prove a generalisation of a theorem of Nagata on ruled surface to the case of the fiber bundle E/P → X, associated to a principal G-bundle E. Using this we prove boundedness for the isomorphism classes of semi-stable G-bundles in all characteristics. 
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