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GenericInitialIdeal -- find the generic initial ideal of a given ideal

Description

GenericInitialIdeal is a package for computing generic initial ideals of ideals in a polynomial ring, that is, the monomial ideal of lead terms after a random change of coordinates. All of these routines are probabilistic: with high probability, they give the correct answer, but it could be the case that the choice of coordinates is too special.

Authors

Version

This documentation describes version 0.2 of GenericInitialIdeal.

Citation

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

@misc{GenericInitialIdealSource,
  title = {{GenericInitialIdeal: find the generic initial ideal of a given ideal. Version~0.2}},
  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
    • gin -- the generic initial ideal
    • lexgin -- the generic initial ideal with respect to lexicographical order
  • Methods
  • Symbols

For the programmer

The object GenericInitialIdeal is a package, defined in GenericInitialIdeal.m2.


The source of this document is in GenericInitialIdeal.m2:131:0.