3 citations · 11 across the 10 of their papers we have counts for
11 papers
Kernel Sheaf on Integral Nodal Curves
Suratno Basu, Krishanu Dan, Aanjaneya Rath
In this article we study the stability of Kernel sheaf obtained from a generating subspace of rank one torsion-free sheaf on an integral nodal curve.
Existence of Ulrich Bundle on general Surfaces
Suratno Basu, Sarbeswar Pal
Let be a smooth projective algebraic surface of Picard rank one with very ample canonical bundle . We further assume that . In this article, we w…
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…
Finite group actions on Higgs bundle moduli spaces
Guillermo Barajas, Suratno Basu, Oscar García-Prada
Let be the moduli space of -Higgs bundles over a compact Riemann surface , where is a semisimple complex Lie group with centre . We describe the fixed…
Generators of the cohomology ring, after Newstead
Suratno Basu, Ananyo Dan, Inder Kaur
Newstead gave the generators of the cohomology ring of the moduli space of rank 2 semi-stable, torsion-free sheaves with fixed odd degree determinant over a smooth, projective curv…
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…
Stability Of The Parabolic Poincaré Bundle
Suratno Basu, Indranil Biswas, Krishanu Dan
Given a compact Riemann surface and a moduli space of parabolic stable bundles on it of fixed determinant of complete parabolic flags, we prove that the Poincaré parab…
Stability of Secant Bundles on Second Symmetric Power of Curves
Suratno Basu, Krishanu Dan
Given a rank stable bundle over a smooth irreducible projective curve there is an associated rank bundle over the second symmetric power of In this art…
On A Relative Mumford-Newstead Theorem
Suratno Basu
In this paper we prove a relative version of the classical Mumford-Newstead theorem for a family of smooth curves degenerating to a reducible curve with a simple node. We also prov…