Theo Sandstrom
unread,Jun 24, 2026, 11:23:40 AM (5 days ago) Jun 24Sign in to reply to author
Sign in to forward
You do not have permission to delete messages in this group
Either email addresses are anonymous for this group or you need the view member email addresses permission to view the original message
to Macaulay2
I expect that the following code snippet is not "idiomatic," but I could not find any built-in way to shift the homological degree of a DGModule. Consider the following code snippet:
needsPackage "DGAlgebras";
shiftDGModule = (M, k) -> (
A := M.dgAlgebra;
shiftedDegs := apply(degrees M, deg -> deg + {-k, 0});
MShift = freeDGModule(A, shiftedDegs);
newDiffs = apply(M.diff, d -> (-1)^k * d);
setDiff(MShift, newDiffs);
return MShift
);
p = 3;
n = 3;
k = GF(p);
S = k[x_1..x_n];
f = sum(n, j -> S_j^2);
I = ideal(apply(n, j -> S_j^p));
A = S^1 / I;
L = ker map(A, A ** S^{-2}, f);
KS = koszulComplexDGA(S);
KL = koszulComplexDGM(KS, L);
df = sum(n, j -> S_j * (KS.natural)_j);
foo = dgModuleMap(KL, shiftDGModule(KL, -2), df * (id_(KL.natural)));
When I call `isWellDefined foo`, I get:
error: codim: expected an affine ring (consider Generic=>true to work over QQ)
Can anybody explain (a) is there a way to construct this DGModuleMap without my hacky `shiftDGModule` function, and (b) how is the `isWellDefined` function encountering a non-affine ring?
Any insight is appreciated!
Best,
Theo