Mandira Mondal

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20172025

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math.AC2025

Ramification in modular invariant rings

Manoj Kummini, Mandira Mondal

Let $p$ be a prime number, $k$ a field of characteristic $p$ and $G$ a finite $p$ -group acting on a standard graded polynomial ring $S = k [x_{1}, \dots, x_{n}]$ as degree-pres…

math.AC2022

Hilbert-Kunz Density function of tensor product and Fourier transformation

Mandira Mondal

For a standard graded ring $R$ of dimension $\geq 2$ over a perfect field of characteristic $p > 0$ and a homogeneous ideal $I$ of finite colength, the HK density function of $R$ wit…

math.AC2021

On Hilbert ideals for a class of $p$ -groups in characteristic $p$

Manoj Kummini, Mandira Mondal

Let $p$ be a prime number, $k$ a field of characteristic $p$ and $G$ a finite $p$ -group. Let $V$ be a finite-dimensional linear representation of $G$ over $k$ . Write $S = \…

math.AC2018

Density function for the second coefficient of the Hilbert-Kunz function

Mandira Mondal, Vijaylaxmi Trivedi

We prove that, analogous to the HK density function, (used for studying the Hilbert-Kunz multiplicity, the leading coefficient of the HK function), there exists a $β$ -density funct…

Ramification in modular invariant rings

Hilbert-Kunz Density function of tensor product and Fourier transformation

On Hilbert ideals for a class of p-groups in characteristic p

Density function for the second coefficient of the Hilbert-Kunz function

On Hilbert ideals for a class of $p$ -groups in characteristic $p$