4 papers
A Torelli Type theorem for Nodal curves
Suratno Basu, Sourav Das
The moduli space of Gieseker vector bundles is a compactification of moduli of vector bundles on a nodal curve. This moduli space has only normal crossing singularity and it provid…
Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces
Suratno Basu, Sarbeswar Pal
Let be a polarized smooth projective algebraic surface and is globally generated, stable vector bundle on . Then the Syzygy bundle associated to it is defined…
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…
Degeneration of intermediate Jacobians and the Torelli theorem
Suratno Basu, Ananyo Dan, Inder Kaur
Mumford and Newstead generalized the classical Torelli theorem to higher rank i.e., a smooth, projective curve is uniquely determined by the second intermediate Jacobian of the…