Alapan Mukhopadhyay

activity

20162026

most citedHigh Frobenius pushforwards generate the bounded derived category

3 citations · 4 across the 7 of their papers we have counts for

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math.AC2026

A dynamical approach to Frobenius splitting

Alapan Mukhopadhyay, Ilya Smirnov

A dynamical system can be associated to the process of decomposing iterated Frobenius pushforwards of modules into indecomposable direct summands. Via this connection, we apply the…

math.AC2024

Some algebras with trivial rings of differential operators

Alapan Mukhopadhyay, Karen E. Smith

Let $k$ be an arbitrary field. We construct examples of regular local $k$ -algebras $R$ (of positive dimension) for which the ring of differential operators $D_{k} (R)$ is trivial in t…

math.AC2023

$h$ -function, Hilbert-Kunz density function and Frobenius-Poincaré function

Cheng Meng, Alapan Mukhopadhyay

Given ideals $I, J$ of a noetherian local ring $(R, m)$ such that $I + J$ is $m$ -primary and a finitely generated $R$ -module $M$ , we associate an invariant of $(M,…

math.AC2022

Frobenius-Poincaré function and Hilbert-Kunz multiplicity

Alapan Mukhopadhyay

We generalize the notion of Hilbert-Kunz multiplicity of a graded triple $(M, R, I)$ in characteristic $p > 0$ by proving that for any complex number $y$ , the limit $$\underset{n \to \…

math.AC2020★ 1 cited

Reducedness of formally unramified algebras over fields