5 papers
Torelli theorem for the product of moduli spaces of vector bundles over a curve
Indranil Biswas, Arijit Dey, Anubhab Pahari
We prove a Torelli-type theorem for a product of the moduli spaces of semistable vector bundles over smooth projective curves of genus . A similar result is proved for…
Log-concavity and unimodality of Hodge numbers of Hilbert schemes of points over a surface
Anubhab Pahari
Let \(S\) be a smooth projective complex surface with irregularity \(q=h^{1,0}(S)\) and geometric genus \(g=h^{2,0}(S)\), and let \(S^{[n]}\) denote its Hilbert scheme of \(n\) poi…
Zero-sum Inverse Realization and Property~(P) under Join Operations
G. Arunkumar, Anubhab Pahari, Puja Samanta
We introduce zero-sum inverse realization of property (P) of a graph , obtained by imposing an additional condition \( \mathbf{1}^{\top}A^{-1}\mathbf{1}=0, \) on a matrix $A\in…
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…
Strict Log-concavity of -coloured Partitions
Kathrin Bringmann, Ben Kane, Anubhab Pahari +1
In recent years, there has been extensive work on inequalities among partition functions. In particular, Nicolas, and independently DeSalvo--Pak, proved that the partition function…