#8801: implement the projective dual of a plane curve
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Reporter: AlexGhitza | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-wishlist
Component: algebraic geometry | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by davideklund):
The attached patch implements this for (reduced and irreducible)
hypersurfaces over the rationals. I intend to generalize this.
I use Grobner bases and elimination. Resultants might be faster so I might
switch to that approach.
If you plug in a variety I think the dual should be reduced. I'm not sure
exactly what the scheme structure of the output is at the moment.
Something related to think about for the general case: given a subscheme X
of projective space, what should the dual of X be?
I will look at the approach described in the attached paper. When the dual
is a hypersurface and has smaller degree than "expected", that approach
seems to be better than the one used at the moment.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8801#comment:1>
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