Points : Table of Contents

• Points -- A package for making and studying points in affine and projective spaces
• affineFatPoints -- 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
• affineMakeRingMaps -- evaluation on points
• affinePoints -- 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
• affinePointsMat -- 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 -- 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.
• projectiveFatPointsByIntersection -- 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.
• projectivePointsByIntersection -- 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
• VerifyPoints -- Option to projectivePoints.