| Classify |
| Coding |
| Deformations |
| Equidim Part |
| Existence |
| Finite Groups |
| Flatness |
| Genus |
| Hilbert Series |
| Membership |
| Monodromy |
| Normalization |
| Primdec |
| Puiseux |
| Plane Curves |
| Solving |
| Space Curves |
| Spectrum |
We consider a finitely presented A-module M:
Fk(M):=
ideal generated by the n-k minors of S
Flatness criterion
M is flat of rank r
iff
Fr(M) = A and Fr-1(M) = 0
iff
Fr(M) = A and Fr-1(M) = 0
Application to Singularities