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K3Carpets :: allGradings

allGradings -- add Grading to a chainComplex

Synopsis

Description

Given a resolution F of an ideal, with carries additional homogenity with respect to the finer graded ring S, we compute the grading.

a=3,b=3
I=carpet(a,b);
F = res(I,FastNonminimal=>true,LengthLimit=>2);
betti F
degs=apply(a+1,i->{1,0,i})|apply(b+1,j->{0,1,j})
S=coefficientRing ring I[gens ring I,Degrees=>degs]
Fall = allGradings(F,S)
netList apply(length Fall+1,i->tally degrees Fall_i)

Ways to use allGradings :