Integral closure of ideals

Abstract

The Qth-power algorithm for computing structured global presentations of integral closures of affine domains over finite fields is modified to compute structured presentations of integral closures of ideals in affine domains over finite fields relative to a local monomial ordering. A non-homogeneous version of the standard (homogeneous) Rees algebra is introduced as well.

Cited by in corpus (7)

• Mixed multiplicities and the multiplicity of rees modules of reductions (published in j. Algebra appl.)
• $F$-singularities: applications of characteristic $p$ methods to singularity theory
• Stanley depth of the integral closure of monomial ideals
• Toward mixed multiplicities and joint reductions
• When are multidegrees positive?
• On the first generalized Hilbert coefficient and depth of associated graded rings
• The Bhattacharya function of complete monomial ideals in two variables