#16334: Toric divisors from fans in sublattices
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Reporter: jkeitel | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: toric | Reviewers: Andrey Novoseltsev,
Authors: Jan Keitel | Volker Braun
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jkeitel/toric_divisors_sublattice| 108339b90651ed0adbd422d1b9fc4dc3ba926aca
Dependencies: | Stopgaps:
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Comment (by novoselt):
Just reordering may not be sufficient in more complicated examples.
I think the assumption is that pairing between dual lattices is the "usual
dot product", i.e. sum of products of corresponding components. If this is
not the case for a particular representation, then everything will go
wrong. Solutions are to either set generators of the dual upon
construction correctly or set the pairing properly. Given that * is
natural for pairing, it may be a bit counterintuitive to have `M(1,0) *
N(0,1) == 1`, so forcing a correct basis seems like a better option.
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Ticket URL: <http://trac.sagemath.org/ticket/16334#comment:13>
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