Clare D’Cruz

most citedMultigraded extended Rees algebras of

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math.AC2004

A formula for the multiplicity of the multi-graded extended Rees algebra

Clare D'Cruz

Our aim in this paper is to obtain a formula for the multiplicity of the maximal homogeneous ideal of the multi-graded extended Rees algebra. This formula generalizes the one obtai…

math.AC2004★ 2 cited

Multigraded extended Rees algebras of $m$ -primary ideals

Clare D'Cruz

In this paper we consider multi-graded extended Rees algebras of zero dimensional ideals which are Cohen-Macaulay (CM) with minimal multiplicity. We show that the minimal multiplic…

math.AC2004

Bound on the a-invariant and reduction numbers of ideals

Clare D'Cruz, Vijay Kodiyalam, Jugal. K. Verma

Let $R$ be a $d$ -dimensional standard graded ring over an Artin local ring. Let $M$ be the unique maximal homogeneous ideal of $R .$ Let $h^{i} (R)_{n}$ denote the length of $H_{M}^{i} (R)_{n}$ …

A formula for the multiplicity of the multi-graded extended Rees algebra

Multigraded extended Rees algebras of m-primary ideals

Bound on the a-invariant and reduction numbers of ideals

Multigraded extended Rees algebras of $m$ -primary ideals