RandomCurves : Table of Contents

• RandomCurves -- random smooth curves up to genus 14
• canonicalCurve -- Compute a random canonical curve of genus less or equal to 14
• canonicalCurveGenus14 -- compute a random curve of genus 14 in its canonical embedding
• completeLinearSystemOnNodalPlaneCurve -- Compute the complete linear system of a divisor on a nodal plane curve
• curveGenus14Degree18inP6 -- compute a random curve of genus 14 and degree 18 in $\mathbb{P}^6$
• distinctPlanePoints -- Generates the ideal of k random points in the coordinate ring $R$ of $\\P^{ 2}$
• expectedBetti -- compute the expected betti table from the Hilbert numerator
• expectedBetti(List,ZZ) -- compute the expected betti table from the Hilbert numerator
• expectedBetti(ZZ,ZZ,ZZ) -- compute the expected betti table from the Hilbert numerator
• hartshorneRaoModule -- Compute a random Hartshorne-Rao module
• hilbertNumerator -- calculate Hilbert numerator from Hilbert function
• imageUnderRationalMap -- Compute the image of the scheme under a rational map
• knownUnirationalComponentOfSpaceCurves -- check whether there is a unirational construction for a component of the Hilbert scheme of space curves
• nodalPlaneCurve -- get a random nodal plane curve
• randomCanonicalCurveGenus8with8Points -- Compute a random canonical curve of genus 8 with 8 marked point
• randomCurveGenus8Degree14inP6 -- Compute a random normal curve of genus g=8 and degree 14 in \PP^6
• randomCurveGenus14Degree18inP6 -- Compute a random curve of genus 14 of Degree 18 in \PP^6
• RandomSpaceCurves -- Construction of random space curves of various kinds.
• spaceCurve -- constructs a RandomObject that can be used to construct a space curve.