|
Number of Branches via Primary Decomposition
Practical Limitations: |
- Primary decomposition relies on global lexicographical
orderings (globally irreducible curve might be analytically
reducible).
- Computations are performed over the rationals, not over
the complex numbers (irreducible curve over the rationals might
be reducible over the complex numbers).
|
Consequence: |
The number of branches might be higher than the number of
components returned by primary decomposition. |
Check plausibility of the result.
<-- Branches of an isolated space curve singularity
<-- computed via Primary Decomposition
--> computed via Normalization
--> computed via Factorizing Gröbner
|