On Tue, 27 Apr 2010 21:11:58 -0700, Ursula Whitcher <[email protected]> wrote:
>
> I'm playing with a family of plane curves with rational coefficients in
> the complex projective plane. So rational or complex numbers would be
> enough for me to test examples. In a perfect world I'd be able to
> specify a family using rational functions of arbitrary constants
> (something like a x^2 + b/(a-1) y^2), and compute the projective dual in
> terms of those constants.
>
That sounds good. This request is being tracked at:
http://trac.sagemath.org/sage_trac/ticket/8801
P.S.: The example you gave is a conic. Is the family of plane curves you
are working with a family of conics? If so, you might be able to use
the explicit formula for the dual of a general conic from page 712 in
Bashelor, Ksir, Traves - Enumerative algebraic geometry of conics, The
American Mathematical Monthly, vol. 115, no. 8, October 2008, pages 701--728.
Otherwise, we'll hopefully get a chance to implement the general case
soon.
Best,
Alex
> UAW
>
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--
Alex Ghitza -- http://aghitza.org/
Lecturer in Mathematics -- The University of Melbourne -- Australia
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