On Saturday, March 28, 2020 at 1:05:01 AM UTC+9, Paddy Adams wrote:
>
> At the moment the implementation of algebraic curves in Sage doesn't seem 
> to be connected at all to the implementation of Function Fields. Is this 
> intentional? It would seem to be useful to be able to, for example, get the 
> function field from a curve. Also surely the Riemann-Roch basis function on 
> projective curves should return elements of a function field and not, as it 
> does currently, the field of fractions of k[X,Y,Z].
>
> Thanks to the current global meltdown I am stuck at home with time on my 
> hands so happy to try and tie together these two areas if there isn't a 
> specific reason not to.
>

Then try the latest Sage beta and see

https://trac.sagemath.org/ticket/27953  

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