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ON THE EXCEPTIONAL PRINCIPAL BUNDLES OVER A SURFACE

Published online by Cambridge University Press:  02 February 2004

USHA N. BHOSLE  and
INDRANIL BISWAS
USHA N. BHOSLE
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, [email protected]
INDRANIL BISWAS
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, [email protected]
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Abstract

Let $G$ be a simple simply connected complex Lie group. Some criteria are given for the nonexistence of exceptional principal $G$-bundles over a complex projective surface. As an application, it is shown that there are no exceptional $G$-bundles over a surface whose arithmetic genus is zero or one. It is also shown that there are no stable exceptional $G$-bundles over an abelian surface.

Keywords

32L2014J60
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 2 , March 2004 , pp. 193 - 197
Copyright
© The London Mathematical Society 2004

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