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Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety
Sudarshan Gurjar, Arjun Paul
Let be a connected smooth complex projective variety of dimension . Let be a simple normal crossing divisor on . Let be a connected complex Lie group, and…
Fundamental Group Schemes of -fold Symmetric Product of a Smooth Projective Curve
Arjun Paul, Ronnie Sebastian
Let be an algebraically closed field of characteristic . Let be an irreducible smooth projective curve of genus over . Fix an integer , and let $S^n…
Fundamental Group Schemes of Hilbert Scheme of Points on a Smooth Projective Surface
Arjun Paul, Ronnie Sebastian
Let be an algebraically closed field of characteristic . Let be an irreducible smooth projective surface over . Fix an integer and let ${\mathcal{H}{\i…
System of Hodge Bundles and Generalized Opers on Smooth Projective Varieties
Suratno Basu, Arjun Paul, Arideep Saha
Let be an algebraically closed field of any characteristic. Let be a polarized irreducible smooth projective algebraic variety over . We give criterion for semistability…