Singular Manual: intersectionValRings

| #### D.4.24.13 intersectionValRings Procedure from library `normaliz.lib` (see normaliz_lib). Usage: intersectionValRings(intmat V, intvec grading); Return: The function returns a monomial ideal, to be considered as the list of monomials generating 247#247 as an algebra over the coefficient field. Background: A discrete monomial valuation 331#331 on 1028#1028 is determined by the values 1052#1052 of the indeterminates. This function computes the subalgebra 1053#1053 for several such valuations 530#530, 1030#1030. It needs the matrix 1054#1054 as its input. The function returns the ideal given by the input matrix V if one of the options `supp`, `triang`, `volume`, or `hseries` has been activated. However, in this case some numerical invariants are computed, and some other data may be contained in files that you can read into Singular (see showNuminvs, exportNuminvs). Example:
    LIB "normaliz.lib";
    ring R=0,(x,y,z,w),dp;
    intmat V0[2][4]=0,1,2,3, -1,1,2,1;
    intersectionValRings(V0);
    ==> _[1]=w
    ==> _[2]=z
    ==> _[3]=y
    ==> _[4]=xw
    ==> _[5]=xz
    ==> _[6]=xy
    ==> _[7]=x2z
See also: diagInvariants; finiteDiagInvariants; intersectionValRingIdeals; torusInvariants.

User manual for Singular version 4.3.2, 2023, generated by texi2html.