#9713: Add toric Chow group
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.6
Component: algebraic geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: |
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Comment(by novoselt):
OK, let's stick to A_k.
{{{
Chow cycle ((0,), (1, 0), (0, 0), (0,))
}}}
is a bit ugly ;-) Maybe to have it as a vector but separate degrees
something like this may work:
{{{
Chow cycle (0 | 1, 0 | 0, 0 | 0)
}}}
My concern is that if I create the Chow cycle corresponding to a cone
generated by rays 2 and 5, it would be nice to see it clearly in the
output, say
{{{
Chow cycle {2, 5}
}}}
with combinations printed as
{{{
Chow cycle 2*{2, 5} - 7*{1, 2, 3}
}}}
But to have it nicely will require storing the original cone combination,
since lift algorithm from a quotient element will involve a lot of cones,
as you pointed out. I don't know if it worths the benefits. But it would
be nice at least to have some markers between degrees.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9713#comment:5>
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