Mandira Mondal

activity

20172025

collaborators

7 papers

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.AC2022

On polynomial invariant rings in modular invariant theory

Manoj Kummini, Mandira Mondal

Let $k$ be a field of characteristic $p > 0$ , $V$ a finite-dimensional $k$ -vector-space, and $G$ a finite $p$ -group acting $k$ -linearly on $V$ . Let $S = \Sym V^*$. We sho…

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.AC2020

$β$ -density function on the class group of projective toric varieties

Mandira Mondal

We prove the existence of a compactly supported, continuous (except at finitely many points) function $g_{I, m} : [0, \infty) ⟶ R$ for all monomial prime…

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…

math.AG2017

Hilbert-Kunz density function and asymptotic Hilbert-Kunz multiplicity for projective toric varieties

Mandira Mondal, V. Trivedi

For a toric pair $(X, D)$ , where $X$ is a projective toric variety of dimension $d - 1 \geq 1$ and $D$ is a very ample $T$ -Cartier divisor, we show that the Hilbert-Kunz density funct…

Ramification in modular invariant rings

Hilbert-Kunz Density function of tensor product and Fourier transformation

On polynomial invariant rings in modular invariant theory

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

β-density function on the class group of projective toric varieties

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

Hilbert-Kunz density function and asymptotic Hilbert-Kunz multiplicity for projective toric varieties

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

$β$ -density function on the class group of projective toric varieties