#8989: Add support for Fano toric varieties
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Reporter: novoselt | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.5
Component: algebraic geometry | Keywords:
Author: Andrey Novoseltsev | Upstream: N/A
Reviewer: Volker Braun | Merged:
Work_issues: |
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Comment(by vbraun):
In principle I agree, but in practice you will need to distinguish the
polytope from the dual polytope. And, conventionally, the "dual polytope"
is what the `CPRFanoToricVariety` expects as its argument. The difference
is that the fan is either the face fan or the normal fan of the polytope,
so the roles of polytope and its dual are **not** interchangeable from the
toric variety point of view.
In the cone case there is nothing that breaks the symmetry; A cone could
be a cone in the N or M lattice or neither (like the Kaehler cone).
Notation is of course arbitrary, but once established it does save a lot
of writing/typing ;-)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8989#comment:12>
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