#20811: Classes for points on generic curves
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Reporter: gjorgenson | Owner:
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-7.3
Component: algebraic | Resolution:
geometry |
Keywords: gsoc2016 | Merged in:
Authors: Grayson Jorgenson | Reviewers: Ben Hutz
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/gjorgenson/ticket/20811 | f2ae6ea307d641e83bdc209271ebe79baac26c48
Dependencies: | Stopgaps:
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Comment (by bhutz):
Yes, I think the new multiplicity functionality should have a new ticket,
but both the multiplicity for subschemes and the intersection muliplicty
can probably be the same ticket.
To answer your questions: No, I don't think Sage can deal with subschemes
of subschemes. In fact, I don't think you can even define something like
that. The ambient space can only be affine or projective space. I see your
comment about making a parameter for the ambient space to get around that,
but I don't think it is a good idea, it would be better to create the
functionality for subschemes of subschemes, if that is even reasonable to
do.
I don't think the products one is as complicated as you are making it.
Don't you just take an affine patch and work there for intersection
multplicity. For a product of projective spaces, the affine patches are
products of affine spaces, which is just an affine space (eg, A2 x A2 =
A4). Yes, you could probably pass to the Segre embedding, but that is
rather slow and complicated.
--
Ticket URL: <https://trac.sagemath.org/ticket/20811#comment:9>
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