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NumericalHilbert :: sCorners

sCorners -- socle corners of a monomial ideal

Synopsis

Description

Computes the maximal monomials which are not in the monomial ideal, i.e. the "socle-corners".
i1 : R = CC[x,y,z];
i2 : I = monomialIdeal{x^2,y^2,z^2}

                     2   2   2
o2 = monomialIdeal (x , y , z )

o2 : MonomialIdeal of R
i3 : sCorners I

o3 = | xyz |

             1       1
o3 : Matrix R  <--- R
i4 : sCorners I^2

o4 = | x3yz xy3z xyz3 |

             1       3
o4 : Matrix R  <--- R
i5 : G = vars R

o5 = | x y z |

             1       3
o5 : Matrix R  <--- R
i6 : sCorners G

o6 = | 1 |

             1       1
o6 : Matrix R  <--- R

Ways to use sCorners :