#19595: Implement a check that a hyperplane arrangement is free
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.1
Component: geometry | Resolution:
Keywords: free, hyperplane | Merged in:
arrangement | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | dda0ab3d40972798cf18394d91eabf56418f36e5
public/hyperplanes/check_free-19595| Stopgaps:
Dependencies: |
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Comment (by tscrim):
Actually, from my testing using inversion arrangements, the syzygy module
often results in a non-square matrix (even after passing it through
`less_generators`). So I don't think this is a viable method. I did push
the code to the branch
{{{
u/tscrim/check_free_with_basis-19595
}}}
if you want to take a look (and I'm not sure if I got Saito's criterion
correct either).
Perhaps we should just include this as-is for now and do a follow-up
ticket for finding a faster way to construct the basis?
--
Ticket URL: <http://trac.sagemath.org/ticket/19595#comment:23>
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