A. Pal

collaborators

3 papers

math.AG2026

Cohomology of Flag Superschemes and Syzygies of Compositional Varieties

Abhik Pal

We study the coherent cohomology of partial flag supervarieties and calculate the sheaf cohomology of the structure sheaves of four new infinite families of flag supervarieties. We…

math.AG2026

Syzygies of Isotropic Kalman Varieties

Suhas Vadan Gondi, Sarah Kumar, Abhik Pal

Let $L$ be a subspace of a complex vector space $V$ and fix $s \leq dim L$ . The (type A) Kalman variety consists of all endomorphisms of $V$ that have an $s$ -dimensional invarian…

math.RT2025

Lie Superalgebras and Generalized Kazhdan-Lusztig Polynomials

Abhik Pal

We present `liesuperalg` a SageMath package for representation-theoretic calculations involving Lie superalgebras in Type A. Our package introduces functionality to calculate invar…