5 papers
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…
On relative Ulrich bundles and generalized Clifford algebras
Soham Mondal, Anindya Mukherjee
We give a Clifford-theoretic description of relatively Ulrich bundles on smooth families of hypersurfaces. A split projection centre produces an explicit monic Clifford algebra who…
sheaves on compactified Jacobian
Pabitra Barik, Anindya Mukherjee
In this paper we construct stable trosion free sheaves on compactified Jacobian of an integral nodal curve. Our construction is functorial in nature and it provides an uni…
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…