21 citations · 25 across the 5 of their papers we have counts for
5 papers
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…
Multigraded extended Rees algebras of -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…
Bound on the a-invariant and reduction numbers of ideals
Clare D'Cruz, Vijay Kodiyalam, Jugal. K. Verma
Let be a -dimensional standard graded ring over an Artin local ring. Let be the unique maximal homogeneous ideal of Let denote the length of …
Cohen-Macaulay fiber cones
Clare D'Cruz, K. N. Raghavan, J. K. Verma
Cohen Macaulay property of fiber cones of ideals is characterized in terms of its Hilbert series. Hilbert series of fiber cones of ideals with minimal mixed multiplicity is calcula…
Castelnuovo-Mumford regularity: Examples of curves and surfaces
Marc Chardin, Clare D'Cruz
The behaviour of Castelnuovo-Mumford regularity under ``geometric'' transformations is not well understood. In this paper we are concerned with examples which will shed some light…