#17324: homogenize for affine morphisms needs to use projective embedding
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Reporter: bhutz | Owner: bhutz
Type: defect | Status: new
Priority: minor | Milestone: sage-6.4
Component: algebraic geometry | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Currently the following code fails because the domains don't match up.
{{{
P.<x,y,z> = ProjectiveSpace(QQ,2)
H=Hom(P,P)
f = H([x^2 - 2*x*y + z*x, z^2 -y^2 , 5*z*y])
f.dehomogenize(2).homogenize(2)==f
}}}
The fix is to use projective embedding and currently it also doesn't take
into account the possibility of a different domain and codomain.
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Ticket URL: <http://trac.sagemath.org/ticket/17324>
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