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math.AG2026
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…
math.AG2026
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…