Singular Manual: reesclos_lib

> | ### D.4.32 reesclos_lib Library: reesclos.lib Purpose: procedures to compute the int. closure of an ideal Author: Tobias Hirsch, email: hirsch@math.tu-cottbus.de Janko Boehm, email: boehm@mathematik.uni-kl.de Magdaleen Marais, email: magdaleen@aims.ac.za 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]

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