Clare D’Cruz

activity

20022026

most citedCohen-Macaulay fiber cones

21 citations · 36 across the 21 of their papers we have counts for

collaborators

21 papers

math.AC2026

Bounds on the second Hilbert coefficient and the depth of the associated graded ring

Clare D'Cruz, Mousumi Mandal, Shruti Priya

Let $(R, m)$ be a Noetherian local ring of dimension $d \geq 1$ with $depth R \geq d - 1,$ and let $I$ be an $m$ -primary ideal. In this paper, we study b…

math.AC2026

Curves in $P^{n}$ of analytic spread at most $n$

Marc Chardin, Clare D'Cruz

We study closed subschemes $X$ in $P^{n}$ of dimension one, locally defined at any point by at most $n$ equations such that the analytic spread of $I_{m}$ is at…

math.AC2022

Symbolic Rees algebras and set-theoretic complete intersections

Clare D'Cruz, Mousumi Mandal, J. K. Verma

In this paper we extend a result of Cowsik on set-theoretic complete intersection and a result Huneke, Morales and Goto and Nishida about Noetherian symbolic Rees algebras of ideal…

math.AC2020

Symbolic powers, set-theoretic complete intersection and certain invariants

Clare D'Cruz

In this survey article we give a brief history of symbolic powers and its connection with the interesting problem of set-theoretic complete intersection. We also state a few proble…

math.AC2019

Resurgence and Castelnuovo-Mumford regularity of certain monomial curves in $A^{3}$

Clare D'Cruz

Let $p$ be the defining ideal of the monomial curve $C (2 q + 1, 2 q + 1 + m, 2 q + 1 + 2 m)$ in the affine space $A_{k}^{3}$ parameterized by $(x^{2q +1}, x^{2q +1 +…

math.AC2019★ 3 cited

Symbolic blowup algebras and invariants associated to certain monomial curves in $P^{3}$

Clare D'Cruz, Mousumi Mandal

In this paper we explicitly describe the symbolic powers of curves $C (q, m)$ in $P^{3}$ parametrized by $(x^{d + 2 m}, x^{d + m} y^{m}, x^{d} y^{2 m}, y^{d + 2 m})$ , where…