#18133: Implement Orlik-Solomon algebra of an arrangement
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Reporter: kcrisman | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: geometry | Resolution:
Keywords: hyperplane | Merged in:
arrangements | Reviewers:
Authors: Travis Scrimshaw, | Work issues:
William Slofstra | Commit:
Report Upstream: N/A | a7bcbadf2efdd95ef76dd7d8b2744ae76b5d9f1a
Branch: | Stopgaps:
public/algebras/orlik_solomon-18133|
Dependencies: |
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Comment (by kcrisman):
> I can easily change this so the default is the base ring of the
arrangement, but it can take another base ring as input. Although I think
it carries less meaning in terms of studying the arrangement, but I'm not
that much of an expert to know for certain.
I don't have a copy of !Orlik/Terao around to check but usually everything
was complex anyway. But I did find [http://pages.uoregon.edu/njp/os.pdf
this] wherein the coefficients are in the field of two elements, though
the definitions are not ''quite'' the same as just taking the OS algebra
over two elements as its base field. Wikipedia says you can take any
subring of the base field but I don't know I'd trust that without reading
the final version of [http://www.math.uiuc.edu/~schenck/cxarr.pdf this] a
bit more. If one of you knows one of these guys one could ask; I haven't
talked to any of them in quite a while.
--
Ticket URL: <http://trac.sagemath.org/ticket/18133#comment:17>
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