#11800: Problem with points at infinity in hyperelliptic curves
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Reporter: gaudry | Owner: AlexGhitza
Type: defect | Status: needs_info
Priority: minor | Milestone: sage-4.8
Component: algebraic geometry | Keywords: ecc2011, sd35,
hyperelliptic curve, conic
Work_issues: | Upstream: N/A
Reviewer: | Author: David Eklund
Merged: | Dependencies: #11930
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Comment(by davideklund):
Ok thanks, I will watch out for consistency with #11930.
I will start working on the points method so that it allows conics, that
is the case where (0:1:0) does not lie on the curve. This appears to be
the better option, since changing the points method seems perfectly safe
and banning conics is controversial (at least to some degree).
The problem when f is of degree 1 and h=0 (or more generally h=constant)
stems from issues in the homogenization of {{{y^2+h*y-f}}} in the init
method of HyperellipticCurve_generic. I will try to deal with these
issues, probably opening a new ticket.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11800#comment:11>
Sage <http://www.sagemath.org>
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