A. Mukherjee

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math.AG2026

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

Arijit Dey, 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 $n$ . Let $a = (n_{1}, \dots, n_{r})$ an…

math.AG2025

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…