Manuscript IX-B@2 · IX-B-v2.tex · section · 8ce915d6
Parent conversion, derivative orbits, and weighted classes
Parent conversion, derivative orbits, and weighted classes · lines 994–1020
The following distinctions prevent a confusion between the complete VII-D parent conversion and the new derivative-orbit theorem.
| Question | Answer |
|---|---|
| Fixed parent triangle, two regulators | The complete conversion is , with constant real weight. No additional normal or intersection term occurs. Inherited from VII-D. |
| Observation derivatives of the residue | For every , is not in . Proved below. |
| Unrestricted tangential weights | The weighted class is infinite-dimensional if admitted. Such weights are not admitted here and are not classified by the VII-D parent conversion theorem. |