D.4.32 reesclos_lib

Library:

reesclos.lib

Purpose:

procedures to compute the int. closure of an ideal

Author:

Tobias Hirsch, email: [email protected]
Janko Boehm, email: [email protected]
Magdaleen Marais, email: [email protected]

Overview:

A library to compute the integral closure of an ideal I in a polynomial ring R=k[x(1),...,x(n)] using the Rees Algebra R[It] of I. It computes the integral closure of R[It],
which is a graded subalgebra of R[t]. The degree-k-component is the integral closure of the k-th power of I.

In contrast to the previous version, the library uses 'normal.lib' to compute the integral closure of R[It]. This improves the performance considerably.

Procedures:

D.4.32.1 ReesAlgebra		computes the Rees Algebra of an ideal I
D.4.32.2 normalI		computes the integral closure of an ideal I using R[It]