works on
abelian varieties 1arithmetically cohen-macaulay bundles 1polarized varieties 1vector bundles 1wild representation type 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.AG2026

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

Soham Mondal

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

math.AG2026

Existence of ACM Bundles on Polarized Abelian Varieties

Soham Mondal, Pabitra Barik

The paper proves that every nontrivial line bundle in the Picard variety of a polarized abelian variety is arithmetically Cohen–Macaulay and constructs infinite families of indecom…

math.AG2026

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

Soham Mondal

Let be a smooth irreducible projective variety of dimension 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 be a smooth projective scheme and a vector bundle on . For a relative hypersurface of degree defined by a global section , we esta…