S. Mondal

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math.AG2026

Line-filtered rank-two ACM bundles on abelian varieties of Picard rank one

Soham Mondal

Let $A$ be a complex abelian variety of dimension $g \geq 2$ with $\NS(A)\cong\ZZ$ generated by an ample class $L$ . We classify, up to twist by powers of $L$ , the rank-two arithmetic…

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

Semistability of Syzygy Bundles Associated to Ulrich Bundles on Projective Varieties of Arbitrary Dimension

Soham Mondal

Let $X$ be a smooth irreducible projective variety of dimension $n \geq 3$ over an algebraically closed field of characteristic zero, polarized by a very ample line bundle $\OO_X(1)$…

math.AG2026

On relative Ulrich bundles and generalized Clifford algebras

Soham Mondal, Anindya Mukherjee

Let $X$ be a smooth projective scheme and $E$ a vector bundle on $X$ . For a relative hypersurface $Y_{f} \subset P (E)$ of degree $d$ defined by a global section $f$ , we esta…