#9713: Add toric Chow group
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.6.1
Component: algebraic geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: coordinate order of components |
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Changes (by novoselt):
* status: needs_review => needs_work
* work_issues: => coordinate order of components
Comment:
I am a bit confused by the first example:
{{{
sage: A.degree()
(Z, C7, Z^5 x C2 x C2, Z)
sage: a = sum( A.gen(i) * (i+1) for i in range(0,A.ngens()) ) # an
element of A
sage: a
( 3 | 1 mod 7 | 0 mod 2, 1 mod 2, 4, 5, 6, 7, 8 | 9 )
}}}
with explanation "The Chow group elements are printed as ( a0 | a1 mod 7 |
a2 mod 2, a3 mod 2, a4, a5, a6, a7, a8 | a9 ), which denotes the element
of the Chow group in the same basis as A.degree()."
`A.degree()` shows the third component as `Z^5 x C2 x C2`, yet it seems
that elements put cyclic groups first, or maybe it is the reverse order
(which would matter for several cyclic groups of different degrees).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9713#comment:8>
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