#17947: implement the cluster fans
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Reporter: | Owner:
chapoton | Status: needs_review
Type: | Milestone: sage-6.6
enhancement | Resolution:
Priority: minor | Merged in:
Component: | Reviewers:
combinatorics | Work issues:
Keywords: | Commit:
cluster, fan | 9628ba3adff463a4d57a030bd75a57ae2b7aea44
Authors: | Stopgaps:
Frédéric Chapoton |
Report Upstream: N/A |
Branch: |
u/chapoton/17947 |
Dependencies: |
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Comment (by darij):
Thanks -- this makes things a lot less scarier. I feel I need some more
help, though. Is a simplicial fan the same as a simplicial complex but
with "simplex" replaced by "simplicial cone"? How exactly do the vectors
`d` in `\ZZ^n` give rise to a cone? Is the cone corresponding to a cluster
simply the set of all nonnegative linear combinations of the denominator
vectors? What is a smooth fan? Why do you require acyclicity; isn't
finite-type enough?
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Ticket URL: <http://trac.sagemath.org/ticket/17947#comment:5>
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