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Search: MSC category 32L05 ( Holomorphic bundles and generalizations )

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1. CMB 2011 (vol 55 pp. 108)

Guler, Dincer
 On Segre Forms of Positive Vector Bundles The goal of this note is to prove that the signed Segre forms of Griffiths' positive vector bundles are positive. Categories:53C55, 32L05

2. CMB 2009 (vol 52 pp. 175)

Biswas, Indranil
 Connections on a Parabolic Principal Bundle, II In \emph{Connections on a parabolic principal bundle over a curve, I} we defined connections on a parabolic principal bundle. While connections on usual principal bundles are defined as splittings of the Atiyah exact sequence, it was noted in the above article that the Atiyah exact sequence does not generalize to the parabolic principal bundles. Here we show that a twisted version of the Atiyah exact sequence generalizes to the context of parabolic principal bundles. For usual principal bundles, giving a splitting of this twisted Atiyah exact sequence is equivalent to giving a splitting of the Atiyah exact sequence. Connections on a parabolic principal bundle can be defined using the generalization of the twisted Atiyah exact sequence. Keywords:Parabolic bundle, Atiyah exact sequence, connectionCategories:32L05, 14F05
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