Mousumi Mandal

most citedNormal Hilbert Polynomials : A survey

3 citations · 3 across the 5 of their papers we have counts for

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math.AC2022

Bounds for the reduction number of primary ideal in dimension three

Mousumi Mandal, Kumari Saloni

Let $(R, m)$ be a Cohen-Macaulay local ring of dimension $d \geq 3$ and $I$ an $m$ -primary ideal of $R$ . Let $r_{J} (I)$ be the reduction number of $I$ with respec…

math.AC2022

Properties of symbolic powers of edge ideals of weighted oriented graphs

Mousumi Mandal, Dipak Kumar Pradhan

Let $D$ be a weighted oriented graph and $I (D)$ be its edge ideal. We provide one method to find all the minimal generators of $I_{\subseteq C}$ , where $C$ is a maximal strong…

math.AC2012

Negativity of the Chern number of parameter ideals

Shiro Goto, Mousumi Mandal, Jugal Verma

In this paper we survey the results on the negativity of the Chern number of parameter ideals.

math.AC2012★ 3 cited

Normal Hilbert Polynomials : A survey

Mousumi Mandal, Shreedevi Masuti, J. K. Verma

We survey some of the major results about normal Hilbert polynomials of ideals. We discuss a formula due to Lipman for complete ideals in regular local rings of dimension two, theo…

math.AC2012

On the Chern number of $I$ -admissible filtrations of ideals

Mousumi Mandal, J. K. Verma

Let $I$ be an $\m$-primary ideal of a Noetherian local ring $(R, \m)$ of positive dimension. The coefficient $e_{1} (I)$ of the Hilbert polynomial of an $I$ -admissible filtra…

Bounds for the reduction number of primary ideal in dimension three

Properties of symbolic powers of edge ideals of weighted oriented graphs

Negativity of the Chern number of parameter ideals

Normal Hilbert Polynomials : A survey

On the Chern number of I-admissible filtrations of ideals

On the Chern number of $I$ -admissible filtrations of ideals