P. Barik

activity

20162026

most citedOn the Rationality of Nagaraj-Seshadri Moduli Space

1 citations · 1 across the 4 of their papers we have counts for

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Showing 2026 · math.AGShow all

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math.AG2026

Ulrich Bundles on certain Grassmann Bundles Over Curves

Arunima Saha, Anindya Mukherjee, Pabitra Barik

Let $E$ be a slope-semistable vector bundle on smooth projective curve $C$ . Assume, $π : G = G r_{C} (r, E) \to C$ denote the relative Grassmannian of rank $r$ quotients of $E$ . 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…