Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-23T03:49:31.272Z Has data issue: false hasContentIssue false
  • English
  • Français

A Generalisation of Nagata's Theorem on Ruled Surfaces

Published online by Cambridge University Press:  04 December 2007

Yogish I. Holla  and
M. S. Narasimhan
Yogish I. Holla
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India. E-mail: [email protected]
M. S. Narasimhan
Affiliation:
ICTP, PO Box 586, Strada Costiera 11, Miramare, I-34100, Italy
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

Principal bundlesAlgebraic curvesReductive algebraic groups
Type
Research Article
Information
Compositio Mathematica , Volume 127 , Issue 3 , July 2001 , pp. 321 - 332
Copyright
© 2001 Kluwer Academic Publishers