4 papers
math.AG2026
Classification of products of Fano varieties with Picard number one
Arijit Mukherjee
Given a partition of a positive integer , one has the associated -dimensional multiprojective space …
math.RA2026
Commutators of finite multiplicative order
Arijit Mukherjee, Gobinda Sau, Arindam Sutradhar
This article studies the equation $[A,B]^k = \Id_n$ for matrices over $\CC$,characterizing the pairs for which solutions exist via a classical result of Lam and Leung on su…
math.AG2026
On the classification of products of Hilbert schemes of points over a surface
Arijit Mukherjee, Anubhab Pahari
Let be a smooth projective surface over and be the Hilbert scheme of points over , for any positive integer . Under suitable hypotheses, we sho…
math.AG2019
Tautological algebra of the moduli space of semistable bundles on an elliptic curve
Arijit Mukherjee
In this paper, our aim is to find the relations amongst the cohomology classes of Brill-Noether subvarieties of the moduli space of semistable bundles over an elliptic curve. We ob…