A necessary and sufficient condition is given for parabolic vector bundles on Riemann surfaces to admit parabolic Lie algebroid connections.
Deligne, \' E quations diff\' e rentielles \`a points singuliers r\' e guliers , Lecture Notes in Mathematics, Vol
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A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection
A necessary and sufficient condition is given for parabolic vector bundles on Riemann surfaces to admit parabolic Lie algebroid connections.