Mandira Mondal

activity

20172022

collaborators

4 papers

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…

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…

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

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

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