CONNECTIONS ON REAL PARABOLIC BUNDLES OVER A REAL CURVE

Title & Authors
CONNECTIONS ON REAL PARABOLIC BUNDLES OVER A REAL CURVE
Amrutiya, Sanjay;

Abstract
We give analogous criterion to admit a real parabolic connection on real parabolic bundles over a real curve. As an application of this criterion, if real curve has a real point, then we proved that a real vector bundle E of rank r and degree d with gcd(r, d) = 1 is real indecomposable if and only if it admits a real logarithmic connection singular exactly over one point with residue given as multiplication by $\small{-\frac{d}{r}}$. We also give an equivalent condition for real indecomposable vector bundle in the case when real curve has no real points.
Keywords
real parabolic bundles;real holomorphic connection;real curve;
Language
English
Cited by
References
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