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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.
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