#13089: Implement weighted projective spaces.
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Reporter: davideklund | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.1
Component: algebraic geometry | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by davideklund):
I'm not sure what you mean. Are you saying that, when one of the weights
is equal to 1 we could make the fan (in a kind of canonical way) and
create a toric variety from that, but that the general case is more messy?
The attached patch constructs the fan using quotient lattices, so Sage
chooses a basis for the lattice. I like the basis it picks except that (in
the present context) one might prefer a different order of the basis
vectors.
Replying to [comment:1 novoselt]:
> At least for spaces that have a variable of weight 1 there should be a
conversion to current toric varieties (for general ones in quotient
lattices current implementation may be less canonical).
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13089#comment:3>
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