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Ulrich Bundles on certain Grassmann Bundles Over Curves
Arunima Saha, Anindya Mukherjee, Pabitra Barik
Let be a slope-semistable vector bundle on smooth projective curve . Assume, denote the relative Grassmannian of rank quotients of . We pr…
Ulrich Sheaves on the Hilbert Square of K3 and Abelian Surfaces
Anindya Mukherjee, Pabitra Barik
We prove the existence of Ulrich sheaves on the Hilbert scheme of two points on a polarized K3 surface or an abelian surface. The construction proceeds by descending Ulrich bundles…
On existence of Ulrich sheaf
Anindya Mukherjee, Pabitra Barik
Let X be a smooth projective variety carrying an Ulrich bundle. In the first part of this note, we construct an Ulrich sheaf on n-th symmetric power of X, which is a singular varie…
Intersection Poincare polynomial for Nagaraj-Seshadri moduli space
Pabitra Barik, Arijit Dey, BN Suhas
We compute Betti numbers of both the components of the moduli space of rank 2 semi-stable torsion-free sheaves with fixed determinant over a reducible nodal curve with two smooth c…
On the Rationality of Nagaraj-Seshadri Moduli Space
Pabitra Barik, Arijit Dey, Suhas +1
We show that each of the irreducible components of moduli of rank 2 torsion-free sheaves with odd Euler characteristic over a reducible nodal curve is rational.