P. Barik

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math.AG2026

Existence of ACM Bundles on Polarized Abelian Varieties

Soham Mondal, Pabitra Barik

Let $(A, L)$ be a polarized abelian variety of dimension $g \geq 1$ over an algebraically closed field of characteristic zero. We prove that every nontrivial line bundle $P$…

math.AG2026

$I T_{0}$ sheaves on compactified Jacobian

Pabitra Barik, Anindya Mukherjee

In this paper we construct stable $I T_{0}$ trosion free sheaves on compactified Jacobian of an integral nodal curve. Our construction is functorial in nature and it provides an uni…

Existence of ACM Bundles on Polarized Abelian Varieties

IT0​ sheaves on compactified Jacobian

$I T_{0}$ sheaves on compactified Jacobian