#20676: Projective closure and affine patches for algebraic curves
-------------------------------------+-------------------------------------
Reporter: gjorgenson | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-7.3
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: | Reviewers:
Authors: Grayson Jorgenson | Work issues:
Report Upstream: N/A | Commit:
Branch: | 39dd215adb96f07bc67854c5debd1f1b49c08032
u/gjorgenson/ticket/20676 | Stopgaps:
Dependencies: #20697, #20698 |
-------------------------------------+-------------------------------------
Changes (by gjorgenson):
* dependencies: => #20697, #20698
Old description:
> Given a curve in affine space, find its projective closure. Conversely,
> given a projective curve, find its affine patches with respect to the
> standard affine coordinate charts.
New description:
Given a curve in affine space, find its projective closure. Conversely,
given a projective curve, find its affine patches with respect to the
standard affine coordinate charts.
This could be done more efficiently by using the
projective_embedding/affine patches functionality for affine/projective
subschemes. Currently the projective_embedding function for affine
subschemes doesn't always have the right codomain:
{{{
A.<x,y,z> = AffineSpace(3,QQ)
X = A.subscheme([y-x^2,z-x^3])
X.projective_embedding().codomain()
}}}
so this should be addressed here, along with creating a projective_closure
function for affine subschemes.
--
--
Ticket URL: <http://trac.sagemath.org/ticket/20676#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
