#20895: Computing ordinary models of plane curves
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Reporter: gjorgenson | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-7.3
Component: algebraic | Resolution:
geometry |
Keywords: gsoc2016 | Merged in:
Authors: Grayson Jorgenson | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/gjorgenson/ticket/20895 | 54a991e606b87e665bef1ea53c229f5a5df265f8
Dependencies: | Stopgaps:
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Comment (by gjorgenson):
Okay, here's my first attempt at the implementation. I improved the affine
tangents function to work with QQbar, and added some helper functions to
apply the standard Cremona transformation, find the equation of the line
between two projective plane points, and to move a curve into excellent
position as defined in Fulton's alg. curves book. I haven't yet been able
to find a good way to mitigate the dependency on QQbar, so right now I
just restrict to QQbar curves entirely. Moving curves to excellent
position seems to take > 2 seconds even for basic curves and quickly
becomes impractical for more complicated curves. The new functionality
does seem to be working correctly on the basic examples I've tested
though.
Do you think it's possible to reduce the dependency on QQbar computations?
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Ticket URL: <https://trac.sagemath.org/ticket/20895#comment:3>
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