Just wanted to mention that I posted about something similar a few years
ago here:
https://groups.google.com/g/sage-support/c/j1Y9yuu-VuE/m/cA7N8iqCCAAJ.  At
the time a trac ticket was opened, but I'm not sure about the status
especially post the github migration.

On Wed, Mar 6, 2024 at 11:55 AM Nils Bruin <nbr...@sfu.ca> wrote:

> On Wednesday 6 March 2024 at 04:52:16 UTC-8 Giacomo Pope wrote:
>
>
> I think aside from maybe needing additional methods on the hyperelliptic
> curve, once the projective model is right and points on the curve are well
> defined for all cases. I do not have any intuition on whether the balanced
> model will for example have issues with the p-Adic implementation as I have
> no experience in this area.
>
> Tiny bit of feedback on the p-adic bit: as far as I know, things like
> Cantor's algorithm use euclidean division, wwhich is a big problem
> p-adically: coefficients may vanish unexpectedly and p-adically you cannot
> distinguish that from loss of precision. I think that's already a problem
> in the existing implementation and I think it will be in yours as well. So
> I think you can ignore p-adics to begin with. If you can get it working
> usefully and reliably for p-adic base fields as well then that's a real
> win!
>
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