4 papers
Line-filtered ACM bundles and Ulrich defects on abelian varieties of Picard rank one
Soham Mondal
Let be a complex abelian variety with $\NS(A)=\Z[L]$, ample. We show that a vector bundle filtered by line bundles splits uniquely into unipotent blocks, determine when it…
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 \(P\)…
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 $\OO_X(1)$…
On relative Ulrich bundles and generalized Clifford algebras
Soham Mondal, Anindya Mukherjee
We give a Clifford-theoretic description of relatively Ulrich bundles on smooth families of hypersurfaces. A split projection centre produces an explicit monic Clifford algebra who…