but as I define it over the finite field GF(4)?

2012/6/15 David Joyner <[email protected]>

> On Fri, Jun 15, 2012 at 1:18 PM, Gato <[email protected]> wrote:
> > help me please:
> >
> >
> > sage: F.<w>=GF(4,'w')
> > sage: R.<X,Y,Z> = ProjectiveSpace(F,2)
> > sage: C = Curve(X^2*Y + w*Y^2*Z+ w^2*Z^2*X)
> > sage: print C
> > Projective Curve over Finite Field in w of size 2^2 defined by X^2*Y +
> > (w)*Y^2*Z + (w + 1)*X*Z^2
> > sage: print C.genus()
> > 1
> > sage: pts = C.rational_points()
> > sage: print pts[4]
> > (1 : w : 1)
> > sage: print pts[5]
> > (w : 1 : 1)
> > sage: D = C.divisor([ (2, pts[4]),(1, pts[5]) ])
> > sage: print C.riemann_roch_basis(D)
> >
> ---------------------------------------------------------------------------
> > AttributeError                            Traceback (most recent call
> last)
> >
> > /home/valpo/Descargas/sage-4.8/<ipython console> in <module>()
> >
> >
> /home/valpo/Descargas/sage-4.8/local/lib/python2.6/site-packages/sage/structure/parent.so
> > in sage.structure.parent.Parent.__getattr__
> (sage/structure/parent.c:6249)()
> >
> > AttributeError: 'ProjectiveCurve_finite_field' object has no attribute
> > 'riemann_roch_basis'
> >
> >
> > why??
>
>
> I think this means that the class ProjectiveCurve_finite_field does
> not have the method
> riemann_roch_basis implemented.
>
> See http://www.sagemath.org/doc/constructions/algebraic_geometry.html
> for examples.
>
> >
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