#18443: Multiplier spectra for projective morphisms
-------------------------------------+-------------------------------------
Reporter: gjorgenson | Owner:
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-6.8
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: | Reviewers: Ben Hutz
Authors: Grayson Jorgenson | Work issues:
Report Upstream: N/A | Commit:
Branch: | e50b845d28353d49ef546a5d23d9b324116b9cec
u/gjorgenson/ticket/18443 | Stopgaps:
Dependencies: #18409 |
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Changes (by bhutz):
* status: needs_review => needs_work
* reviewer: => Ben Hutz
Comment:
A few things here, the big one is that the multiplier spectrum is defined
with multiplicities. So if a perioidic point has multiplicity > 1 its
multiplier should be repeated. Such as example should be added to the doc
tests.
Other minor issues:
- a positive integer, the period.
- numberfield -> number field
- n = int(n)
- change_ring now works for QQbar, so this is not needed
{{{
if not PS.base_ring() is QQbar:
emb = PS.base_ring().embeddings(QQbar)[0]
f = self.change_ring(QQbar,embedding=emb) # to be able to find all
periodic points
else:
f = self
}}}
- f.multiplier(P,n)[0][0] -> f.multiplier(P,n)[0,0]
- multipliers.sort() -> not needed
- sigma_invariants - 2nd senctence should say all periodic points. (same
for INPUT)
- from sage.combinat.sf.sf import SymmetricFunctions -> move to top
- make len(multipliers) a constant in for loop
--
Ticket URL: <http://trac.sagemath.org/ticket/18443#comment:4>
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