#8988: Add support for toric varieties
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Reporter: novoselt | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.4.4
Component: algebraic geometry | Keywords:
Author: Andrey Novoseltsev | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by novoselt):
How about this?
{{{
Toric variety of dimension 2 with 4 affine patches
}}}
I would like to have a description in "plain English" and also patches
seem to be more intrinsic to varieties than cones.
It may be good also to add an option for "extra" name, so that varieties
from a named database (which is not there yet but I hope to have it
eventually based on your code) can print as
{{{
Toric variety of dimension 2 with 4 affine patches (P1xP1)
}}}
or maybe
{{{
P1xP1 (Toric variety of dimension 2 with 4 affine patches)
}}}
will be better. There is a way to rename anything in Sage, so
{{{
P1xP1
}}}
is very easy to do, but seems to be too different from the default one.
Which one of three do you prefer?
It is also possible to print the base field, but I deliberately didn't do
it so far because I always think of toric varieties as being defined over
complex field. Plus, when the base field is a fraction field of a
multivariable polynomial ring (as is the case with ambient spaces of
anticanonical hypersurfaces in the next patch), the the description of the
field gets really big and distracts from the toric variety itself.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8988#comment:11>
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