A. Mukherjee

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math.AG2026

Classification of products of Fano varieties with Picard number one

Arijit Mukherjee

Given a partition $(n_{1}, \dots, n_{r})$ of a positive integer $n$ , one has the associated $n$ -dimensional multiprojective space $P^{n_{1}} \times \dots \times P^{n_{r}}$ …

math.AG2026

On the classification of products of Hilbert schemes of points over a surface

Arijit Mukherjee, Anubhab Pahari

Let $S$ be a smooth projective surface over $C$ and $S^{[n]}$ be the Hilbert scheme of $n$ points over $S$ , for any positive integer $n$ . Under suitable hypotheses, we sho…

math.AG2024

Diagonal property and weak point property of higher rank divisors and certain Hilbert schemes

Arijit Mukherjee, D S Nagaraj

In this paper, we introduce the notion of the diagonal property and the weak point property for an ind-variety. We prove that the ind-varieties of higher rank divisors of integral…

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…