Singular Manual: intersectionValRings

| #### D.4.25.13 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 249#249 as an algebra over the coefficient field. Background: A discrete monomial valuation 333#333 on 1030#1030 is determined by the values 1054#1054 of the indeterminates. This function computes the subalgebra 1055#1055 for several such valuations 532#532, 1032#1032. It needs the matrix 1056#1056 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 4.4.1, 2025, generated by texi2html.