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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…