RandomPlaneCurves -- random plane curves

Description

This package generates random nodal plane curves and provides related methods.

Authors

Version

This documentation describes version 0.6 of RandomPlaneCurves.

Citation

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

@misc{RandomPlaneCurvesSource,
  title = {{RandomPlaneCurves: A \emph{Macaulay2} package. Version~0.6}},
  author = {Hans-Christian Graf v. Bothmer and Florian Geiss and Frank-Olaf Schreyer},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/master/M2/Macaulay2/packages}}
}

Exports

Functions and commands
- completeLinearSystemOnNodalPlaneCurve -- Compute the complete linear system of a divisor on a nodal plane curve
- imageUnderRationalMap -- Compute the image of the scheme under a rational map
Methods
- certifyDistinctPlanePoints(Ideal,ZZ,PolynomialRing) (missing documentation)
- certifyNodalPlaneCurve(Ideal,ZZ,ZZ,PolynomialRing) (missing documentation)
- completeLinearSystemOnNodalPlaneCurve(Ideal,List) -- see completeLinearSystemOnNodalPlaneCurve -- Compute the complete linear system of a divisor on a nodal plane curve
- constructDistinctPlanePoints(ZZ,PolynomialRing) (missing documentation)
- constructNodalPlaneCurve(ZZ,ZZ,PolynomialRing) (missing documentation)
- imageUnderRationalMap(Ideal,Matrix) -- see imageUnderRationalMap -- Compute the image of the scheme under a rational map
Other things
- distinctPlanePoints -- Generates the ideal of k random points in the coordinate ring $R$ of $\\P^{ 2}$
- nodalPlaneCurve -- get a random nodal plane curve

For the programmer

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

The source of this document is in RandomPlaneCurves.m2:158:0.