Regularity -- compute Castelnuovo-Mumford regularity of a homogeneous ideal

Description

Regularity is a package for computing the Castelnuovo-Mumford regularity of homogeneous ideals in a polynomial ring without having to compute a minimal free resolution of the homogeneous ideal

This package is based on two articles by Bermejo and Gimenez: Saturation and Castelnuovo-mumford Regularity, Journal of Algebra 303/2006 and Computing the Castelnuovo-Mumford Regularity of some subschemes of P^n using quotients of monomial ideals, Journal of Pure and Applied Algebra 164/2001.

Authors

• Alexandra Seceleanu
• Nathaniel Stapleton

Version

This documentation describes version 1.0 of Regularity.

Source code

The source code from which this documentation is derived is in the file Regularity.m2.

Exports

• Functions and commands
• mRegularity -- compute Castelnuovo-Mumford regularity
• Methods
• "mRegularity(Ideal)" -- see mRegularity -- compute Castelnuovo-Mumford regularity
• Symbols
• CM (missing documentation)
• "MonCurve" -- see mRegularity -- compute Castelnuovo-Mumford regularity

For the programmer

The object Regularity is .