Read-only forum archive

Parametrization of algebraic varieties

Parametrization of algebraic varieties

herr · Thu Mar 29, 2012 2:11 pm

I'd like to compute a parametrization of some algebraic variety corresponding to a given ideal. I found the function parametrize(I) in the library paramet.lib. Unfortunately, this library doesn't seem to exist any more in Singular 3.1.3 (which I'm currently using). Is there a similar function implemented in the current version of Singular?

Thanks! Katrin

Re: Parametrization of algebraic varieties

Wolfram Decker · Fri Mar 30, 2012 1:12 pm

In general, finding a parametrization of a rational variety isn't that straightforward.
For curves, however, you may use paraplanecurves.lib.

Re: Parametrization of algebraic varieties

herr · Fri Mar 30, 2012 2:02 pm

Ok, thank you for the quick reply! I'll check whether I can use the library for curves you mentioned.