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affineFatPoints
-- produces the ideal and initial ideal from the coordinates of a finite set of fat points
affineFatPoints(Matrix,List,Ring)
-- produces the ideal and initial ideal from the coordinates of a finite set of fat points
affineFatPointsByIntersection
-- computes ideal of fat points by intersecting powers of maximal ideals
affineFatPointsByIntersection(Matrix,List,Ring)
-- computes ideal of fat points by intersecting powers of maximal ideals
affineMakeRingMaps
-- evaluation on points
affineMakeRingMaps(Matrix,Ring)
-- evaluation on points
affinePoints
-- produces the ideal and initial ideal from the coordinates of a finite set of points
affinePoints(Matrix,Ring)
-- produces the ideal and initial ideal from the coordinates of a finite set of points
affinePointsByIntersection
-- computes ideal of point set by intersecting maximal ideals
affinePointsByIntersection(Matrix,Ring)
-- computes ideal of point set by intersecting maximal ideals
affinePointsMat
-- produces the matrix of values of the standard monomials on a set of points
affinePointsMat(Matrix,Ring)
-- produces the matrix of values of the standard monomials on a set of points
AllRandom
-- Option to randomPointsMat.
expectedBetti
-- The betti table of r points in Pn according to the minimal resolution conjecture
minMaxResolution
-- Min and max conceivable Betti tables for generic points
omegaPoints
-- linear part of the presentation of canonical module of points
Points
-- A package for making and studying points in affine and projective spaces
points
-- make the ideal of a set of points
projectiveFatPoints
-- produces the ideal and initial ideal from the coordinates of a finite set of fat points
projectiveFatPoints(...,VerifyPoints=>...)
-- Option to projectiveFatPoints.
projectiveFatPoints(Matrix,List,Ring)
-- produces the ideal and initial ideal from the coordinates of a finite set of fat points
projectiveFatPointsByIntersection
-- computes ideal of fat points by intersecting powers of point ideals
projectiveFatPointsByIntersection(Matrix,List,Ring)
-- computes ideal of fat points by intersecting powers of point ideals
projectivePoints
-- produces the ideal and initial ideal from the coordinates of a finite set of projective points
projectivePoints(...,VerifyPoints=>...)
-- Option to projectivePoints.
projectivePoints(Matrix,Ring)
-- produces the ideal and initial ideal from the coordinates of a finite set of projective points
projectivePointsByIntersection
-- computes ideal of projective points by intersecting point ideals
projectivePointsByIntersection(Matrix,Ring)
-- computes ideal of projective points by intersecting point ideals
randomPoints
-- ideal of a random set of points
randomPointsMat
-- matrix of homogeneous coordinates of random points in projective space
randomPointsMat(...,AllRandom=>...)
-- matrix of homogeneous coordinates of random points in projective space
randomPointsMat(Ring,ZZ)
-- matrix of homogeneous coordinates of random points in projective space
VerifyPoints
-- Option to projectivePoints.