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 <[email protected]>
Nathaniel Stapleton <[email protected]>

Version

This documentation describes version 1.0 of Regularity.

Citation

If you have used this package in your research, please cite it as follows:

@misc{RegularitySource,
  title = {{Regularity: Castelnuovo-Mumford regularity of a homogeneous ideal. Version~1.0}},
  author = {Alexandra Seceleanu and Nathaniel Stapleton},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/master/M2/Macaulay2/packages}}
}

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 a package, defined in Regularity.m2.

The source of this document is in Regularity.m2:229:0.