Mukai-Sakai bound for equivariant principal bundles

Bhosle, Usha N. ; Biswas, Indranil (2005) Mukai-Sakai bound for equivariant principal bundles Arkiv for Matematik, 43 (1). pp. 133-141. ISSN 0004-2080

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Official URL: http://www.springerlink.com/content/13171571753455...

Related URL: http://dx.doi.org/10.1007/BF02383614

Abstract

Mukai and Sakai proved that given a vector bundle E of rank n on a connected smooth projective curve of genusg and any r∈[1,n], there is subbundle S of rankr such that deg Hom (S, E/S)≤r(n-r)g. We prove a generalization of this bound for equivariant principal bundles. Our proof even simplifies the one given by Holla and Narasimhan for usual principal bundles.

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Deposited On:11 Oct 2010 08:55
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