On Jan 25, 2012 9:33 PM, "syd.lavas...@gmail.com" <syd.lavas...@gmail.com>
wrote:
>
> So I guess everybody found this issue a non-issue. However, this for
> example makes it possible to compute the genus of a function field
> that is defined over a non-prime finite field
> (genus currently uses singular)
>
> I take the silence as a 'go ahead'. I'll add this to the patch of
> http://trac.sagemath.org/sage_trac/ticket/12170

Here's a non-silent go ahead.

>
> On 23 ינואר, 02:32, "syd.lavas...@gmail.com" <syd.lavas...@gmail.com>
> wrote:
> > In current version of sage you can not have a singular object for k(a)
> > [x] when k is a non-prime finite field and a is transcendental. This
> > is because singular does not support defining such rings explicitly,
> > while if k was prime we had no problem.
> >
> > I don't know what the developers of singular were thinking, but
> > probably the fundamental solution is to change the singular code. But
> > meanwhile, one can define
> > prime_field(k)(a)[t,x]
> > and then quotient it with p(t) with minimal polynomial of the field
> > extension.
> >
> > This helps the user to use lots of functions, as elementary as lcm,
> > which are depending on Singular.
> >
> > I have written the code, if everybody is happy with this short-cut
> > solution, I can go ahead an put the code on the trac
> >
> > Cheers,
> > Syd
>
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