CONNECTION ON PARABOLIC VECTOR BUNDLES OVER CURVES
2011 ◽
Vol 22
(04)
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pp. 593-602
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Keyword(s):
Let E* be a parabolic vector bundle over a smooth complex projective curve. We prove that E* admits an algebraic connection if and only if the parabolic degree of every parabolic vector bundle which is a direct summand of E* is zero. In particular, all parabolic semistable vector bundles of parabolic degree zero admit an algebraic connection.