| Classify |
| Coding |
| Deformations |
| Equidim Part |
| Existence |
| Finite Groups |
| Flatness |
| Genus |
| Hilbert Series |
| Membership |
| Monodromy |
| Normalization |
| Primdec |
| Puiseux |
| Plane Curves |
| Solving |
| Space Curves |
| Spectrum |
| Definition: | Let C be a projective curve, and let
HC(t) = d(C)*t - pa(C) + 1
g(C):=pa(Cn)
|
If we are able to compute the normalization, we can compute the geometric genus. But this is
very time consuming. We propose a procedure being based on the following knowledge:
pa(C)=g(C)+delta(C), where delta(C) is the sum over the local delta invariants in the singular points
There exist a projection C-->D to a plane curve D with degree d(D)=d(C), such that Cn=Dn. Then
g(C) = pa(Cn) = pa(Dn) = g(D).Almost every projection has this property.