Thanks very much for your answer! However, I do not understand it :( I think a lot of it is me not getting the vocabulary you are using, and my lack of familiarity with algebraic geometry. Would you be willing to simplify/explain in simpler terms starting from the second paragraph?

@RobertIsrael Following your advice led me to: gminton.org/choreo.html --- try it out! Pretty neat.

Nice book, I love it.

@PeterMichor Did you read these works in German, or are there English translations I am unaware of?