A generalisation of Nagata's theorem on ruled surfaces

Holla, Yogish I. ; Narasimhan, M. S. (2001) A generalisation of Nagata's theorem on ruled surfaces Compositio Mathematica, 127 (3). pp. 321-332. ISSN 0010-437X

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Official URL: http://www.springerlink.com/content/kx627r7325p25k...

Related URL: http://dx.doi.org/10.1023/A:1017505213601

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Principal Bundles; Algebraic Curves; Reductive Algebraic Groups
ID Code:58118
Deposited On:31 Aug 2011 12:31
Last Modified:31 Aug 2011 12:31

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